Approximating square roots to nearest Integer

Introduction

Have you ever tried to figure out the square root of a number like 71 without a calculator? It’s not always neat, like √64 = 8. But you can estimate it using what you know about perfect squares. Approximating square roots is a useful skill when you don’t ha...

Imagine you have a square cake with an area of 50 square inches, and you want to know how long each side is. How can you find the length of a side?

For any square, the area is found by multiplying the side length by itself.

So, to find the side length when you know the area, take the square root of the area.

That means the side...