Question

Between which two consecutive whole numbers does square root of, 83, end square root
83
​
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 83, end square root
83
​
to an approximately correct location on the number line.
Real
√83
__
_
Answer
Attempt 1 out of 2

Since square root of, end square root
2
2
​

​

equals=
and square root of, end square root
2
2
​

​

equals=
it is known that square root of, 83, end square root
83
​
is between
and
.
Submit Answer

Answer 1

Since 9^2 = 81 and 10^2 = 100, and 81 < 83 < 100, we have 9 < √83 < 10.
So √83 lies between the consecutive whole numbers 9 and 10.

Approximate value: √83 ≈ 9.11, so place it a little to the right of 9 on the number line (about 11% of the way from 9 to 10).