Practice Square Roots in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The square root of a number a is the non-negative value b such that b \times b = a; it is the inverse of squaring and is written \sqrt{a}. For example, \sqrt{25} = 5 because 5^2 = 25.

\sqrt{25} asks: what number times itself equals 25? Answer: 5.

Example 1

easy
Find \sqrt{144}.

Example 2

medium
A square has an area of 196 cmยฒ. What is the side length of the square?

Example 3

medium
Simplify \sqrt{200}.

Example 4

easy
A square garden has an area of 144 square feet. What is the side length?