Free Printable 9.1 Simplifying Radicals

1.

$\sqrt{20}$

a)

$10\sqrt{2}$

b)

$2\sqrt{5}$

c)

$5\sqrt{2}$

d)

$4\sqrt{5}$

2.

$-\sqrt{72}$

a)

$-6\sqrt{2}$

b)

$-2\sqrt{6}$

c)

$18\sqrt{3}$

d)

$-4\sqrt{9}$

3.

$\sqrt{4x^2}$

a)

$2x^2$

b)

$x\sqrt{2}$

c)

$4x\sqrt{x}$

d)

$2x$

4.

$\sqrt{48n^5}$

a)

$24n^2$

b)

$16n^4\sqrt{3}$

c)

$4n^2\sqrt{3n}$

d)

$8n^2\sqrt{3n}$

5.

$-\sqrt{\frac{4}{49}}$

a)

$\frac{2}{7}$

b)

$-\frac{2}{9}$

c)

$\frac{1}{16}$

d)

$-\frac{2}{7}$

6.

$\sqrt{\frac{25m^4}{36}}$

a)

$\frac{5m}{6}$

b)

$\frac{6m^2}{5}$

c)

$\frac{5m^4}{8}$

d)

$\frac{5m^2}{6}$

7.

Evaluate the function for the given value of x.

$h\left(x\right)=\sqrt{5x}\ \ \ \ \ \ \ x=10$

a)

$10\sqrt{5}$

b)

$5\sqrt{2}$

c)

$25\sqrt{2}$

d)

$5\sqrt{10}$

8.

Evaluate the function for the given value of x.

$g\left(x\right)=\sqrt{3x}\ \ \ \ \ \ \ x=60$

a)

$90\sqrt{2}$

b)

$6\sqrt{5}$

c)

$10\sqrt{8}$

d)

$36\sqrt{2}$

9.

Evaluate the function for the given value of a, b, and c.

a= -2 b=8

$g\left(x\right)=\sqrt{2a^2+b^2}$

a)

$5\sqrt{2}$

b)

$10\sqrt{3}$

c)

$2\sqrt{6}$

d)

$6\sqrt{2}$

10.

Evaluate the function for the given value of a, b, and c.

a= -1 b=7 c= -6

$m\left(x\right)=\sqrt{b^2-4ac}$

a)

$\sqrt{73}$

b)

$9\sqrt{2}$

c)

$7$

d)

$5$

11.

$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sqrt{100x^2}$

a)

100x²

b)

100x

c)

50x

d)

10x

12.

$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sqrt{\frac{x^2}{36}}$

a)

$\frac{x^2}{6}$

b)

$\frac{x}{\sqrt{36}}$

c)

$\frac{x}{6}$

d)

6x

13.

$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sqrt{\frac{36x^2}{4}}$

a)

$3x$

b)

$\frac{6x^2}{2}$

c)

$\frac{6x}{4}$

d)

$9x^2$

14.

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

a)

x

b)

x²

c)

x⁵

d)

already simplified

15.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

16.

$\sqrt{125}$

a)

$5\sqrt{5}$

b)

$25\sqrt{5}$

c)

$5\sqrt{25}$

d)

$5\sqrt{2}$

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

$\sqrt{216p^3}$

a)

$6p\sqrt{4}$

b)

$4\sqrt{6p}$

c)

$36p\sqrt{6p}$

d)

$6p\sqrt{6p}$

20.

$-2\sqrt{28x}$

a)

$-7\sqrt{2x}$

b)

$-14x\sqrt{4}$

c)

$-8x\sqrt{7}$

d)

$-4\sqrt{7x}$

9.1 Simplifying Radicals

Total questions: 20

Worksheet time: 5hrs 0mins

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