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.
Without using a calculator, determine between which two consecutive integers the square root lies.
√83
< √83 <
(Simplify your answer.)
1 answer