Simplifying Square Roots

Perfect Square

100

sqrt(64)

8

200

sqrt(625)

25

300

sqrt(196)

14

400

sqrt(361)

19

Estimate Integer

100

Name the two integers that the following square root is between:

sqrt(90)

9 and 10

200

Name the two integers that the following square root is between:

sqrt(155)

12 and 13

300

Name the two integers that the following square root is between:

-sqrt(133)

-11 and -12

400

Name the two integers that the following square root is between:

-sqrt(600)

-24 and -25

Simplify Radicals

100

Simplify fully

sqrt(8)

2sqrt(2)

200

Simplify fully

sqrt(72)

6sqrt(2)

300

Simplify fully

sqrt(800)

20sqrt(2)

400

Simplify fully

sqrt(117)

3sqrt(13)

Simplify Radicals with Variables

100

Simplify fully

sqrt(32x²)

4xsqrt(2)

200

Simplify fully

sqrt(125x^5)

5x^2sqrt(5x

300

Simplify fully

sqrt(243x^3y^4)

9xy^2sqrt(3x

400

Simplify fully

sqrt(192x^3y^4z^5)

8xy^2z^2sqrt(3xz)