Free Printable Checkpoint: Simplifying Radicals

1.

$\sqrt{5}\cdot\sqrt{6}$

a)

$\sqrt{6}\cdot\sqrt{5}$

b)

$\sqrt{30}$

c)

$30$

d)

$3\sqrt{10}$

2.

$\sqrt{18}$

a)

$9\sqrt{2}$

b)

$2\sqrt{9}$

c)

$3\sqrt{2}$

d)

$2\sqrt{3}$

3.

a)

b)

c)

d)

4.

$3\sqrt{10}\cdot4\sqrt{10}$

a)

$12\sqrt{10}$

b)

$7\sqrt{10}$

c)

$2\sqrt{30}$

d)

$7\sqrt{100}$

5.

$\sqrt{75}$

a)

$3\sqrt{5}$

b)

$5\sqrt{25}$

c)

$\sqrt{75}$

d)

$5\sqrt{3}$

6.

$\sqrt{54a^2b^2}$

a)

$6ab\sqrt{3}$

b)

$3\sqrt{6a^2b^2}$

c)

$3ab\sqrt{6}$

d)

$6a^2b^2\sqrt{3}$

7.

$\sqrt{40a^4}$

a)

$2\sqrt{10a^4}$

b)

$2a^2\sqrt{10}$

c)

$2a^4\sqrt{10}$

d)

$4a\sqrt{10a^2}$

8.

$\sqrt{50m^3n^5}$

a)

$5m^2n^2\sqrt{2mn^2}$

b)

$5mn^2\sqrt{2mn}$

c)

$2mn^2\sqrt{5mn}$

d)

$2m^2n^2\sqrt{5m^2n}$

9.

a)

b)

c)

10.

What are the prime factors of 20?

a)

$2\cdot2\cdot5$

b)

$4\cdot5$

c)

$2\cdot10$

d)

$2\cdot2\cdot2\cdot5$

11.

What are the prime factors of 50.

a)

$2\cdot5\cdot5$

b)

$2\cdot25$

c)

$5\cdot10$

d)

$5\cdot5\cdot3$

12.

(a)

13.

A square has sides measuring $2\sqrt{7}$ ft. Determine the area of the square.

(a)

14.

A rectangle has width $3\sqrt{5}$ cm and the length is $4\sqrt{10}$ . Find the area of the rectangle.

a)

$60\sqrt{2}cm^2$

b)

$12\sqrt{50}\ cm^2$

c)

$7\sqrt{50\ }cm^2$

d)

$40\sqrt{15}cm^2$

Checkpoint: Simplifying Radicals

Total questions: 14

Worksheet time: 10mins

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