Free Printable College Prep Math Radicals Review

1.

$\sqrt{180m^4n^4}$

a)

$4mn\sqrt{45mn}$

b)

$90m^2n^2$

c)

$6m^2n^2\sqrt{5}$

d)

$6m^4n^4\sqrt{5}$

2.

$3\sqrt{2}+2\sqrt{54}-3\sqrt{24}$

a)

$2\sqrt{32}$

b)

$6\sqrt{3}$

c)

$2\sqrt{10}$

d)

$3\sqrt{2}$

3.

$3\sqrt{6}\cdot2\sqrt{10}$

a)

$12\sqrt{15}$

b)

$20$

c)

$6\sqrt{6}$

d)

$5\sqrt{4}$

4.

$4\sqrt{15}\left(\sqrt{6}+\sqrt{5}\right)$

a)

$4\sqrt{26}$

b)

$12\sqrt{10}+20\sqrt{3}$

c)

$4\sqrt{21}+8\sqrt{5}$

d)

$2\sqrt{5}+3\sqrt{6}$

5.

$\left(-3-5\sqrt{3}\right)\left(-1-3\sqrt{3}\right)$

a)

$30+15\sqrt{3}$

b)

$3-8\sqrt{3}$

c)

$48+14\sqrt{3}$

d)

$-4+10\sqrt{2}$

6.

$\frac{3\sqrt{2}}{5\sqrt{3}}$

a)

$3\sqrt{6}$

b)

$\frac{3\sqrt{6}}{5}$

c)

$\frac{\sqrt{2}}{15}$

d)

$\frac{\sqrt{6}}{5}$

7.

$\left(2b\right)^{\frac{8}{5}}$ Rewrite in radical form

a)

$\left(^5\sqrt{2b}\right)^8$

b)

$2^5\sqrt{b^8}$

c)

$\left(^8\sqrt{2b}\right)^5$

d)

Not possible

8.

$\sqrt{-75x^3}$ Simplify in terms of i

a)

$-xi\sqrt{75x}$

b)

$-5xi\sqrt{3}$

c)

$5xi\sqrt{3x}$

d)

$25x^2i\sqrt{3x}$

9.

$\left(-3-2i\right)-\left(1-2i\right)$

a)

$-2-4i$

b)

$-4-4i$

c)

$-2$

d)

$-4$

10.

$\left(-5i\right)\left(2-6i\right)$

a)

$-30-10i$

b)

$30+10i$

c)

$11-7i$

d)

$-40i$

11.

$\sqrt{64r}=8$

a)

64

b)

1/8

c)

1

d)

8

12.

$\sqrt{3-2m}=\sqrt{-1-4m}$

a)

-1/2

b)

2/3

c)

4

d)

-2

13.

$\sqrt{-25}\cdot\sqrt{-81}$

a)

$45i$

b)

$45$

c)

$-45$

d)

$-45i$

College Prep Math Radicals Review

Total questions: 13

Worksheet time: 7mins

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