Approximate square root of, 59, end square root

Question

59
59
​
by following the steps below.
square root of, 59, end square root
59
59
​
must lie between the whole numbers
and
Answer
Attempt 1 out of 2
You must answer all questions above in order to submit.

Answer 1

The square root of 59 lies between the whole numbers 7 and 8.

Answer 2

Approximate square root of, 59, end square root
59
59
​
by following the steps below.
square root of, 59, end square root
59
59
​
must lie between the whole numbers
7
7 and
8
8 because 7, squared, equals, start box, 49, end box
7
2
=
49
7
2
=
49
​
and 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
​
, and 59 lies between these values.
Drag square root of, 59, end square root
59
59
​
based on your estimate above:
Real
√59
__
_
To one decimal place, square root of, 59, end square root
59
59
​
must lie between
and
because 7, squared, equals, start box, 49, end box
7
2
=
49
7
2
=
49
​
and 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
​
, and 59 lies between these values.

Answer 3

To one decimal place, the square root of 59 lies between 7.0 and 8.0.

Answer 4

Between which two consecutive whole numbers does square root of, 11, end square root
11
11
​
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 11, end square root
11
11
​
to an approximately correct location on the number line.
Real
√11
__
_
Answer
Attempt 2 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, 11, end square root
11
11
​
is between
and
.

Answer 5

Since the square root of 4 equals 2 and the square root of 9 equals 3, it is known that the square root of 11 lies between 2 and 3.