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Simplifying Radicals (square, cube, and fourth roots)

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Simplify the radical

a)

33

b)

20.2520.25

c)

99

d)

1212

2.

Simplify the radical

a)

1313

b)

9898

c)

1414

d)

1212

3.

Simplify the radical

a)

5 25\ ∛2

b)

2 52\ ∛5

c)

83 383\ ∛3

d)

25 225\ ∛2

4.

Simplify the radical

a)

5 25\ ∜2

b)

2 52\ ∜5

c)

2020

d)

4 54\ \sqrt{5}

5.

Simplify the radical

a)

2302\sqrt{30}

b)

3 203\ \sqrt{20}

c)

3403\sqrt{40}

d)

4 304\ \sqrt{30}

6.

Simplify the radical

a)

1010

b)

10 310\ ∛3

c)

3 103\ ∛10

d)

33 333\ ∛3

7.

Simplify the radical

a)

x x2\left|x\right|\ ∜x^2

b)

x2 xx^2\ \ ∜x

c)

x2 x2x^2\ \ ∜x^2

d)

x xx\ \ ∜x

8.

Simplify the radical

a)

y4\sqrt{y^4}

b)

y4\ \left|y^4\right|

c)

y4 y^4\

d)

y2 y2y^2\ \sqrt{y^2}

9.

Simplify the radical

a)

az2 zaz^2\ ∛z

b)

az z2az\ ∛z^2

c)

z2 azz^2\ ∛az

d)

az2 azaz^2\ ∛az

10.

Simplify the radical

a)

g3h2 h\left|g^3\right|h^2\ \ ∜h^{ }

b)

g3h2 h\left|g^3h^2\right|\ ∜h

c)

h g3h2h\ ∜g^3h^2

d)

h2 g3hh^2\ ∜g^3h^{ }

11.

Simplify the radical

a)

j7k2jj^7\left|k^2\right|\sqrt{j}

b)

j7jk2j^7\sqrt{jk^2}

c)

j2jk7j^2\sqrt{jk^7}

d)

jk2j7jk^2\sqrt{j^7}

12.

Simplify the radical

a)

m3n5 mp2m^3n^5\ ∛mp^2

b)

mp2 m3n5mp^2\ ∛m^3n^5

c)

m m3n5p2m\ ∛m^3n^5p^2

d)

m3n5p mm^3n^5p\ ∛m

13.

Simplify the radical

a)

7f3 f7f^3\ ∛f

b)

7f37f^3

c)

f3 7ff^3\ ∛7f

d)

7f7f

14.

Simplify the radical

a)

2w3x 2wx2w^3x\ ∜2wx

b)

2wx 2w32w\left|x\right|\ ∜2w^3

c)

8wx 2w38wx\ ∜2w^3

d)

4wx 2w34wx\ ∜2w^3

15.

Simplify the radical

a)

3y2z77y3y^2z^7\sqrt{7y}

b)

3yz77y3y\left|z^7\right|\sqrt{7y}

c)

9yz77y9yz^7\sqrt{7y}

d)

3yz73yz3yz^7\sqrt{3yz}