Free Printable Rapid Radical Review :)

1.

Simplify the expression below.

\sqrt{432}

a)

$3\sqrt{12}$

b)

$4\sqrt{9}$

c)

$12\sqrt{3}$

d)

$7\sqrt{3}$

2.

Simplify the following expression.

3\sqrt{12x^6y^7}

a)

$5x^3y^7\sqrt{3}$

b)

$6x^3y^3\sqrt{3y}$

c)

$6x^3y^3\sqrt{3}$

d)

$5x^3y^3\sqrt{3xy}$

3.

What belongs under the radical?

2\sqrt{6}=\sqrt{?}

a)

24

b)

12

c)

8

d)

48

4.

Simplify.
$2\sqrt{7}+\sqrt[3]{5}+7+4\sqrt[3]{5}-3-5\sqrt{7}$

a)

$4\sqrt[3]{5}+7\sqrt{7}+10$

b)

$2\sqrt[3]{5}+2\sqrt{7}+4$

c)

$5\sqrt[3]{5}-3\sqrt{7}+4$

d)

$3\sqrt[3]{5}-7\sqrt{7}+4$

5.

Simplify completely.
$2\sqrt{5}\cdot6\sqrt{10}$

a)

$8\sqrt{15}$

b)

$12\sqrt{50}$

c)

$12\sqrt{2}$

d)

$60\sqrt{2}$

6.

Identify which are in simplest form. (Select 2)

a)

$3x^6y^2\sqrt{4x}$

b)

$6x^2y\sqrt{2xy}$

c)

$12x^{100}y^{50}\sqrt{7y}$

d)

$8x^{30}y^7\sqrt{3x^7y^{30}}$

7.

Simplify.
$\sqrt[3]{-648}$

a)

$2\sqrt[3]{9}$

b)

$-6\sqrt[3]{3}$

c)

$-3\sqrt[3]{6}$

d)

$6\sqrt[3]{3}$

8.

What belongs under the radical?
$4\sqrt[3]{3}=\sqrt[3]{?}$

(a)

9.

$\sqrt{54}+\sqrt{96}+\sqrt{28}$

a)

$7\sqrt{6}+2\sqrt{7}$

b)

$9\sqrt{13}$

c)

$\sqrt{6}+2\sqrt{7}$

d)

$9\sqrt{6}$

10.

Simplify.
$10\sqrt[3]{9}\cdot8\sqrt[3]{6}$

a)

$160\sqrt[3]{6}$

b)

$89\sqrt[3]{2}$

c)

$240\sqrt[3]{6}$

d)

$240\sqrt[3]{2}$

11.

Simplify.
$3\sqrt{196}$

a)

17

b)

14

c)

42

d)

28

12.

Simplify.
$\sqrt{81x^{100}y^{350}z^{21}}$

a)

$3x^{50}y^{175}z^{10}\sqrt{3z}$

b)

$9x^{50}y^{175}z^{10}\sqrt{z}$

c)

$9x^{100}y^{350}z^{20}\sqrt{z}$

d)

$3x^{100}y^{175}z^{10}\sqrt{9z}$

13.

$4x^2y^4\sqrt{2x}$

a)

$\sqrt{8x^3y^4}$

b)

$\sqrt{32x^3y^4}$

c)

$\sqrt{8x^5y^8}$

d)

$\sqrt{32x^5y^8}$

Rapid Radical Review :)

Total questions: 13

Worksheet time: 3hrs 15mins

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