Free Printable 4Q: Warm-Up 4/28: Multiplying & Dividing Radical Expressions

1.

Multiply. If possible. Then simplify. $\sqrt{8}\cdot\sqrt{32}$

a)

16

b)

8

c)

not possible

d)

4

2.

Simplify. Assume that all variables are positive. $\sqrt{20x^3}$

a)

$x\sqrt{10}$

b)

$2x\sqrt{5x}$

c)

$10x$

d)

$2\sqrt{10x}$

3.

Simplify. Assume that all variables are positive. $\sqrt{50x^5}$

a)

$5x^2\sqrt{2}$

b)

$10x\sqrt{2x}$

c)

$5\sqrt{2x^2}$

d)

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

4.

Simplify. Assume that all variable are positive. $\sqrt{200a^6b^7}$

a)

$10a^3b^3\sqrt{b}$

b)

$10a^3b^3\sqrt{2b}$

c)

$5a^3b^3\sqrt{2b}$

d)

$5a^3b^3\sqrt{b}$

5.

Multiply and simplify. Assume that all variables are positive. $\sqrt{8y^5}\cdot\sqrt{40y^2}$

a)

$8y^3\sqrt{5}$

b)

$8y^3\sqrt{5y}$

c)

$8y\sqrt{5y}$

d)

$8y^3\sqrt{5}$

6.

$\frac{1}{\sqrt{2}}$

a)

1

b)

2

c)

$\sqrt{2}$

d)

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

7.

a-b and a+b are conjugates.

a)

True

b)

False

8.

Simplify

a)

9

b)

5√2 + 2

c)

10√2

d)

2√2 + 3√30

9.

a)

a

b)

b

c)

c

d)

d

10.

a)

a

b)

b

c)

c

d)

d

4Q: Warm-Up 4/28: Multiplying & Dividing Radical Expressions

Total questions: 10

Worksheet time: 40mins

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