Question
Without using a calculator, determine between which two consecutive integers the square root lies.
√83
< √83 <
(Simplify your answer.)
√83
< √83 <
(Simplify your answer.)
Answers
Answered by
GPT 3.5
We can estimate the square root of 83 by finding the perfect squares on either side of it.
The perfect square smaller than 83 is 81 (which is equal to 9^2) and the perfect square greater than 83 is 100 (which is equal to 10^2).
So, we can conclude that √83 is between 9 and 10.
Therefore, 9 < √83 < 10.
The perfect square smaller than 83 is 81 (which is equal to 9^2) and the perfect square greater than 83 is 100 (which is equal to 10^2).
So, we can conclude that √83 is between 9 and 10.
Therefore, 9 < √83 < 10.