Practice Square Roots in Math

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

Quick Recap

The non-negative number b such that b2=a, written a=b — the inverse of squaring.

25 asks: what number times itself equals 25? Answer: 5.

Showing a random 20 of 50 problems.

Example 1

medium
Evaluate 64−9.

Example 2

medium
Evaluate 36×4.

Example 3

easy
Find 925.

Example 4

easy
Find 0.25.

Example 5

challenge
Between which two consecutive integers does 200 lie, and which is it closer to?

Example 6

hard
Solve x=9 for x.

Example 7

easy
Find 400.

Example 8

easy
Find 100.

Example 9

medium
Simplify 4964.

Example 10

easy
Find 14.

Example 11

easy
What does the principal square root convention say about 49?

Example 12

medium
A square has an area of 196 cm². What is the side length of the square?

Example 13

medium
Rationalize the denominator: 63.

Example 14

easy
Find 49.

Example 15

medium
Estimate 30 to one decimal place.

Example 16

medium
Evaluate 18⋅2.

Example 17

medium
Between which two consecutive integers does 60 lie?

Example 18

hard
A square has diagonal 102. Find its side length.

Example 19

challenge
Simplify 12+27 to the form ab.

Example 20

hard
Solve x+5=4 for x.