Question

To the nearest tenth, what is the square root of 89?

Hint: Use the area of a square and your knowledge of square roots also working steps to complete the following​

Answer 1

9.4.

Explanation:

9^2 = 81 and 10^2 = 100

So the value of the square root of 89 is between 9 and 10.

The gap between the squares is 100-81 = 19 and the gap between 89 and 81 is 8 so an estimate of the square root would be 9 + 8/19 of the gap between 9 and 10.

9 + 8/19 = 8.42.