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• Question 1
120 seconds
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Q.

Simplify  $\sqrt{80}$  as much as possible.

$2\sqrt{20}$

$8\sqrt{10}$

$4\sqrt{5}$

Cannot be simplified further

• Question 2
120 seconds
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Q.

Simplify  $\sqrt{18x^4}$  as much as possible.

$x^2\sqrt{18}$

$3\sqrt{2x}$

$6\sqrt{x}$

$3x^2\sqrt{2}$

• Question 3
120 seconds
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Q.

Select all of the following radicals that are in fully simplified form.

$-2\sqrt{36}$

$3\sqrt{22}$

$\sqrt{35}$

$3\sqrt{3}$

• Question 4
120 seconds
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Q.

Multiply:  $2\sqrt{3}\cdot4\sqrt{27}$

$72$

$8\sqrt{30}$

$6\sqrt{81}$

$84$

• Question 5
120 seconds
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Q.

Divide:  $\frac{5\sqrt{12}}{15\sqrt{3}}$

$\frac{100}{15}$

$\frac{\sqrt{9}}{3}$

$\frac{2}{3}$

$\frac{4}{3}$

• Question 6
120 seconds
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Q.

Here's a "proof," using nothing but radicals, that  $-1\ =\ 1$ :

$-1\ =\sqrt{-1}\cdot\sqrt{-1}\ =\ \sqrt{-1\cdot-1}$
$=\sqrt{1\ }=\ 1$

Which step contains the mistake? Explain why. Consider the first equals sign to be the first step, the second equals sign to be the second step, and so on.

• Question 7
120 seconds
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Q.

Add:  $3\sqrt{7}\ -2\sqrt{28}+10\sqrt{4}$

$-\sqrt{7}+10\sqrt{4}$

$-9\sqrt{11}$

$20-\sqrt{7}$

Cannot simplify any further

• Question 8
120 seconds
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Q.

Add: $6\sqrt{24}-24\sqrt{6}$

$-12\sqrt{6}$

$-18\sqrt{18}$

$18\sqrt{6}$

$12\sqrt{6}$

• Question 9
120 seconds
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Q.

Which number is larger: $30\sqrt{20}\$  or  $15\sqrt{80}$

$30\sqrt{20}$

$15\sqrt{80}$

These numbers are equal

There's no way to tell

• Question 10
120 seconds
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Q.

True or false:  $\sqrt{a^2+b^2}=a+b$

False

Not true

Preposterous

MY EYES!!!

*cries in Pythagoras*

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