Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Radicals Review Quiz

Total questions: 21

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

Simplify: 
 32\sqrt{32}  

4 lines
2.

Simplify:

 36\sqrt{36}  

4 lines
3.

Simplify:

 32453\sqrt{245}  

4 lines
4.

Simplify:

 −845-8\sqrt{45}  

4 lines
5.

Subtract:

 −2−8-\sqrt{2}-\sqrt{8}  

4 lines
6.

Subtract:

 −8−8-\sqrt{8}-\sqrt{8}  

4 lines
7.

Add:

 −2+22+28-\sqrt{2}+2\sqrt{2}+2\sqrt{8}  

4 lines
8.

Simplify:

 212−23−2122\sqrt{12}-2\sqrt{3}-2\sqrt{12}  

4 lines
9.

Multiply:

 22×22\sqrt{2}\times\sqrt{2}  

4 lines
10.

Multiply:

 −2×36-\sqrt{2}\times3\sqrt{6}  

4 lines
11.

Distribute:

 6(−3+2)\sqrt{6}\left(-\sqrt{3}+\sqrt{2}\right)  

4 lines
12.

Distribute:

 −32(2+3)-3\sqrt{2}\left(\sqrt{2}+\sqrt{3}\right)  

4 lines
13.

Divide:

 818\frac{\sqrt{8}}{\sqrt{18}}  

4 lines
14.

Divide:

 205\frac{\sqrt{20}}{\sqrt{5}}  

4 lines
15.

Rationalize:

 432\frac{4\sqrt{3}}{\sqrt{2}}  

4 lines
16.

Rationalize:

 25\frac{2}{\sqrt{5}}  

4 lines
17.

Solve the equation and check for extraneous solutions.

 3=3x3=\sqrt{3x}  

4 lines
18.

Solve the equation and check for extraneous solutions.

 x−10=4\sqrt{x-10}=4  

4 lines
19.

Solve the equation and check for extraneous solutions.

 −80=−82−49x-80=-8\sqrt{2-49x}  

4 lines
20.

Solve the equation and check for extraneous solutions.

 −10x7=−70-10\sqrt{\frac{x}{7}}=-70  

4 lines
21.

BONUS: What is the radicand?

4 lines