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Radicals Review Quiz

Total questions: 21

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

Simplify: 
 32\sqrt{32}  

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2.

Simplify:

 36\sqrt{36}  

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3.

Simplify:

 32453\sqrt{245}  

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4.

Simplify:

 845-8\sqrt{45}  

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5.

Subtract:

 28-\sqrt{2}-\sqrt{8}  

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6.

Subtract:

 88-\sqrt{8}-\sqrt{8}  

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7.

Add:

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

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8.

Simplify:

 212232122\sqrt{12}-2\sqrt{3}-2\sqrt{12}  

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9.

Multiply:

 22×22\sqrt{2}\times\sqrt{2}  

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10.

Multiply:

 2×36-\sqrt{2}\times3\sqrt{6}  

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11.

Distribute:

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

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12.

Distribute:

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

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13.

Divide:

 818\frac{\sqrt{8}}{\sqrt{18}}  

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14.

Divide:

 205\frac{\sqrt{20}}{\sqrt{5}}  

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15.

Rationalize:

 432\frac{4\sqrt{3}}{\sqrt{2}}  

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16.

Rationalize:

 25\frac{2}{\sqrt{5}}  

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17.

Solve the equation and check for extraneous solutions.

 3=3x3=\sqrt{3x}  

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18.

Solve the equation and check for extraneous solutions.

 x10=4\sqrt{x-10}=4  

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19.

Solve the equation and check for extraneous solutions.

 80=8249x-80=-8\sqrt{2-49x}  

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20.

Solve the equation and check for extraneous solutions.

 10x7=70-10\sqrt{\frac{x}{7}}=-70  

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21.

BONUS: What is the radicand?

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