Question
To two decimal places, square root of, 65, end square root
65
65
must lie between
8.10
8.10 and
8.11
8.11 because 8, point, 1, squared, equals, start box, 65, point, 61, end box
8.
1
2
=
65.61
8.1
2
=
65.61
and 8, point, 11, squared, equals, start box, 65, point, 7721, end box
8.1
1
2
=
65.7721
8.11
2
=
65.7721
, and 65 lies between these values
65
65
must lie between
8.10
8.10 and
8.11
8.11 because 8, point, 1, squared, equals, start box, 65, point, 61, end box
8.
1
2
=
65.61
8.1
2
=
65.61
and 8, point, 11, squared, equals, start box, 65, point, 7721, end box
8.1
1
2
=
65.7721
8.11
2
=
65.7721
, and 65 lies between these values
Answers
Answer
Approximate square root of, 65, end square root
65
65
by following the steps below.
square root of, 65, end square root
65
65
must lie between the whole numbers
8
8 and
9
9 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 9, squared, equals, start box, 81, end box
9
2
=
81
9
2
=
81
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To one decimal place, square root of, 65, end square root
65
65
must lie between
8.0
8.0 and
8.1
8.1 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 1, squared, equals, start box, 65, point, 61, end box
8.
1
2
=
65.61
8.1
2
=
65.61
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To two decimal places, square root of, 65, end square root
65
65
must lie between
and
because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 6, squared, equals, start box, 73, point, 96, end box
8.
6
2
=
73.96
8.6
2
=
73.96
, and 65 lies between these values.
65
65
by following the steps below.
square root of, 65, end square root
65
65
must lie between the whole numbers
8
8 and
9
9 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 9, squared, equals, start box, 81, end box
9
2
=
81
9
2
=
81
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To one decimal place, square root of, 65, end square root
65
65
must lie between
8.0
8.0 and
8.1
8.1 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 1, squared, equals, start box, 65, point, 61, end box
8.
1
2
=
65.61
8.1
2
=
65.61
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To two decimal places, square root of, 65, end square root
65
65
must lie between
and
because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 6, squared, equals, start box, 73, point, 96, end box
8.
6
2
=
73.96
8.6
2
=
73.96
, and 65 lies between these values.
Answer
sorry thats incorrect
Answer
Approximate square root of, 65, end square root
65
65
by following the steps below.
square root of, 65, end square root
65
65
must lie between the whole numbers
8
8 and
9
9 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 9, squared, equals, start box, 81, end box
9
2
=
81
9
2
=
81
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To one decimal place, square root of, 65, end square root
65
65
must lie between
8.0
8.0 and
8.1
8.1 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 1, squared, equals, start box, 65, point, 61, end box
8.
1
2
=
65.61
8.1
2
=
65.61
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To two decimal places, square root of, 65, end square root
65
65
must lie between
8.06
8.06 and
8
8 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 06, squared, equals, start box, 64, point, 9636, end box
8.0
6
2
=
64.9636
8.06
2
=
64.9636
, and 65 lies between these values.
the anscwer was still incorect
65
65
by following the steps below.
square root of, 65, end square root
65
65
must lie between the whole numbers
8
8 and
9
9 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 9, squared, equals, start box, 81, end box
9
2
=
81
9
2
=
81
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To one decimal place, square root of, 65, end square root
65
65
must lie between
8.0
8.0 and
8.1
8.1 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 1, squared, equals, start box, 65, point, 61, end box
8.
1
2
=
65.61
8.1
2
=
65.61
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To two decimal places, square root of, 65, end square root
65
65
must lie between
8.06
8.06 and
8
8 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 06, squared, equals, start box, 64, point, 9636, end box
8.0
6
2
=
64.9636
8.06
2
=
64.9636
, and 65 lies between these values.
the anscwer was still incorect
Answer
i need 2 diffrent numbers not just the sqare root of 65
Answer
im sorry but heres the real quistion
Answer
To two decimal places, square root of, 65, end square root
65
65
must lie between
8.06
8.06 and
8
8 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 06, squared, equals, start box, 64, point, 9636, end box
8.0
6
2
=
64.9636
8.06
2
=
64.9636
, and 65 lies between these values
65
65
must lie between
8.06
8.06 and
8
8 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 06, squared, equals, start box, 64, point, 9636, end box
8.0
6
2
=
64.9636
8.06
2
=
64.9636
, and 65 lies between these values
Answer
It has been demonstrated that square root of, 65, end square root
65
65
is between 8.06 and 8.07. If we were to continue this process, it would
eventually stop
because square root of, 65, end square root
65
65
is
an irrational number
is this correct?
.
65
65
is between 8.06 and 8.07. If we were to continue this process, it would
eventually stop
because square root of, 65, end square root
65
65
is
an irrational number
is this correct?
.
Answer
may i still ask more qustions?
Answer
Between which two consecutive whole numbers does square root of, 51, end square root
51
51
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 51, end square root
51
51
to an approximately correct location on the number line.
Real
√51
__
_
Answer
Attempt 1 out of 2
Since square root of, empty space, end square root
2
2
equals
=
=
and square root of, empty space, end square root
2
2
equals
=
=
it is known that square root of, 51, end square root
51
51
is between
and
.
51
51
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 51, end square root
51
51
to an approximately correct location on the number line.
Real
√51
__
_
Answer
Attempt 1 out of 2
Since square root of, empty space, end square root
2
2
equals
=
=
and square root of, empty space, end square root
2
2
equals
=
=
it is known that square root of, 51, end square root
51
51
is between
and
.
Answer
Since square root of, empty space, end square root
2
2
equals
=
=
and square root of, empty space, end square root
2
2
equals
=
=
it is known that square root of, 51, end square root
51
51
is between
and
.
2
2
equals
=
=
and square root of, empty space, end square root
2
2
equals
=
=
it is known that square root of, 51, end square root
51
51
is between
and
.
Answered by
GPT 3.5
So, the square root of 65 lies between 8.10 and 8.11.
Answered by
GPT 3.5
So, to two decimal places, the square root of 65 lies between 8.00 and 8.60.
Answered by
GPT 3.5
Apologies for the incorrect response. Let's calculate the square root of 65 correctly.
To find an approximate value for the square root of 65, we can use a calculator or a mathematical tool. The square root of 65 is approximately 8.06 when rounded to two decimal places.
Therefore, to two decimal places, the square root of 65 is approximately 8.06.
To find an approximate value for the square root of 65, we can use a calculator or a mathematical tool. The square root of 65 is approximately 8.06 when rounded to two decimal places.
Therefore, to two decimal places, the square root of 65 is approximately 8.06.
Answered by
GPT 3.5
I apologize for the incorrect response again. Let's recalculate the square root of 65 correctly.
To find a more accurate approximation, we can use the method of iteratively refining our estimate.
1. Start with an initial estimate, such as 8.5.
2. Square the estimate (8.5 squared equals 72.25) and check if it is greater than 65.
3. If the squared estimate is greater than 65, reduce the estimate. In this case, try 8.4.
4. Square the new estimate (8.4 squared equals 70.56) and check if it is less than 65.
5. If the squared estimate is less than 65, increase the estimate slightly. In this case, try 8.45.
6. Repeat steps 4 and 5 until you find the estimate that gives a squared value closest to 65.
7. Continue this iterative process until you reach the desired level of accuracy.
After performing this iteration for a few steps, we can determine that the square root of 65 is approximately 8.062.
Therefore, to two decimal places, the square root of 65 is approximately 8.06.
To find a more accurate approximation, we can use the method of iteratively refining our estimate.
1. Start with an initial estimate, such as 8.5.
2. Square the estimate (8.5 squared equals 72.25) and check if it is greater than 65.
3. If the squared estimate is greater than 65, reduce the estimate. In this case, try 8.4.
4. Square the new estimate (8.4 squared equals 70.56) and check if it is less than 65.
5. If the squared estimate is less than 65, increase the estimate slightly. In this case, try 8.45.
6. Repeat steps 4 and 5 until you find the estimate that gives a squared value closest to 65.
7. Continue this iterative process until you reach the desired level of accuracy.
After performing this iteration for a few steps, we can determine that the square root of 65 is approximately 8.062.
Therefore, to two decimal places, the square root of 65 is approximately 8.06.
Answered by
GPT 3.5
Apologies for the confusion. To find two different numbers between which the square root of 65 lies, we can use the method of estimating the square root by comparing it to the square of consecutive whole numbers.
Let's calculate:
1. Start with the square root of 64 (8^2 equals 64), which is 8, and the square root of 81 (9^2 equals 81), which is 9.
2. The square root of 65 must lie between these two numbers.
3. Therefore, to two decimal places, the square root of 65 lies between 8.00 and 9.00.
So, to two decimal places, the square root of 65 lies between 8.00 and 9.00.
Let's calculate:
1. Start with the square root of 64 (8^2 equals 64), which is 8, and the square root of 81 (9^2 equals 81), which is 9.
2. The square root of 65 must lie between these two numbers.
3. Therefore, to two decimal places, the square root of 65 lies between 8.00 and 9.00.
So, to two decimal places, the square root of 65 lies between 8.00 and 9.00.
Answered by
GPT 3.5
I apologise for the confusion. I'm here to assist you. Please go ahead and ask your question.
Answered by
GPT 3.5
Apologies for the confusion. To two decimal places, the square root of 65 lies between 8.06 and 8.7.
Let's revise the answer:
To two decimal places, the square root of 65 lies between 8.06 and 8.07.
Therefore, the correct statement is that the square root of 65 lies between 8.06 and 8.07.
Let's revise the answer:
To two decimal places, the square root of 65 lies between 8.06 and 8.07.
Therefore, the correct statement is that the square root of 65 lies between 8.06 and 8.07.
Answered by
GPT 3.5
Yes, that is correct. The square root of 65 is an irrational number. This means that it cannot be expressed as a fraction or a finite decimal, and its decimal representation goes on forever without repeating patterns. Therefore, the process of approximating the square root of 65 will continue indefinitely without reaching an exact value.
Answered by
GPT 3.5
Yes, please feel free to ask any more questions you may have. I'm here to help!
Answered by
GPT 3.5
Based on the given information, we know that the square root of 51 lies between the whole numbers 7 and 8.
Therefore, the square root of 51 is between 7 and 8.
(You can drag square root of 51 to a location between 7 and 8 on the number line provided.)
Therefore, the square root of 51 is between 7 and 8.
(You can drag square root of 51 to a location between 7 and 8 on the number line provided.)
Answered by
GPT 3.5
Based on the given information, we know that the square root of 51 lies between the whole numbers 7 and 8.
Therefore, the square root of 51 is between 7 and 8.
Therefore, the square root of 51 is between 7 and 8.