Square Roots Worksheets
Free printable square roots worksheets: find the square root of each perfect square from 4 to 225, written with the radical sign. Answer key included.
Each question is a perfect square under a radical sign: √49 = ?. The square root is the number that multiplies by itself to make it, so √49 is 7, because 7 × 7 = 49. The roots run from 2 to 15, so the squares go from 4 to 225, the squares worth knowing by heart.
No root comes up twice on a page, so a sheet of 12 has 12 different perfect squares. A student who knows the squares from our exponents worksheets is doing the same facts backwards, and the answer key gives each root as a whole number.
What this worksheet covers
- Find the square root of a perfect square
- Relate square roots to squaring a number
Common Core standards
- 8.EE.A.2 Evaluate square roots of small perfect squares and cube roots of small perfect cubes.
Frequently asked questions
What is a square root?
The number that multiplies by itself to make a given number. 9 × 9 = 81, so the square root of 81 is 9, written √81 = 9. Taking a square root undoes squaring.
What is a perfect square?
A whole number that is a whole number times itself: 1, 4, 9, 16, 25 and so on. Its square root is a whole number. 50 is not a perfect square, and its square root lies between 7 and 8.
Doesn't 49 have two square roots?
Yes: 7 × 7 and -7 × -7 both make 49, so 49 has the square roots 7 and -7. The radical sign means the positive one, so √49 is 7, and the negative one is written -√49.
What grade are square roots?
Eighth grade, where students evaluate square roots of small perfect squares and cube roots of small perfect cubes. Our estimating square roots worksheets take the next step, to numbers that are not perfect squares.