Square Roots Games Online Free
Find the square root of a perfect square from √1 to √144, like √49 = 7.
Type answers on your keyboard, or tap the number pad.
Practise these again:
What is a square root?
The square root of a number is the number that multiplies by itself to make it. √49 = 7 because 7 × 7 = 49. Numbers like 49 that have a whole-number square root are called perfect squares.
Square roots are square numbers in reverse, so knowing the squares makes this easy. Practise them first in square numbers.
How to play Square Roots
- Choose the 60-second challenge or untimed practice, then press Start.
- Type each answer on your keyboard or tap the number pad. It’s checked as soon as you’ve typed enough digits, or press ✓.
- Get one wrong and you’ll see the right answer, and the question comes back a little later.
- At the end, check your score and the facts to practise again.
Square Roots skills
- Square roots of perfect squares to 144
- Linking squares and square roots
- Recalling square numbers
Level: Grades 6–8 (ages 11–14)
Tips for square roots
Ask “what number times itself makes this?” For √64, 8 × 8 = 64.
Use the last digit: squares ending in 6 come from numbers ending in 4 or 6 (16, 36, 196).
Learn the squares to 12 × 12 and the roots come for free.
| √1 | 1 |
|---|---|
| √4 | 2 |
| √9 | 3 |
| √16 | 4 |
| √25 | 5 |
| √36 | 6 |
| √49 | 7 |
| √64 | 8 |
| √81 | 9 |
| √100 | 10 |
| √121 | 11 |
| √144 | 12 |
Square Roots questions and answers
What are the perfect squares up to 144?
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121 and 144. Their square roots are 1 to 12.
What is the square root of a number that isn’t a perfect square?
It isn’t a whole number. √50 is about 7.07, between √49 = 7 and √64 = 8. This game uses perfect squares only.
When do students learn square roots?
In the US, square roots are introduced in eighth grade (with some exposure in sixth and seventh). In England, they’re part of Key Stage 3 (ages 11–14).