Rationalizing Denominators
an hour ago
pskaarup_09769
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• Question 1
300 seconds
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Q.

Rationalize the denominator:
$\frac{\sqrt{5}}{2\sqrt{3}}$

$\frac{\sqrt{15}}{6}$

$\frac{\sqrt{15}}{18}$

$\frac{5\sqrt{3}}{6}$

$\frac{5\sqrt{3}}{18}$

• Question 2
300 seconds
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Q.

What is the conjugate of:
$5+\sqrt{7}$

18

$5+\sqrt{7}$

$5-\sqrt{7}$

32

• Question 3
300 seconds
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Q.

Rationalize the denominator:
$\frac{2\sqrt{8}}{\sqrt{12}}$

$\frac{\sqrt{96}}{6}$

$\frac{2\sqrt{6}}{3}$

$\frac{2\sqrt{96}}{12}$

$\frac{4\sqrt{2}}{2\sqrt{3}}$

• Question 4
300 seconds
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Q.

Multiply:
$\left(4+\sqrt{2}\right)\left(4-\sqrt{2}\right)$

$16-\sqrt{2}$

$4-\sqrt{2}$

14

18

• Question 5
300 seconds
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Q.

What is the conjugate of:
$6-3\sqrt{2}$

$6+3\sqrt{2}$

$3\sqrt{2}+6$

$6-3\sqrt{2}$

18

• Question 6
300 seconds
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Q.

What should you multiply $\frac{6}{1-\sqrt{5}}$  by to rationalize the denominator?

-4

$1-\sqrt{5}$

$1+\sqrt{5}$

$-\frac{\left(3-3\sqrt{5}\right)}{2}$

• Question 7
300 seconds
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Q.

Rationalize the denominator:
$\frac{7\sqrt{3}}{4\sqrt{7}}$

$\frac{7\sqrt{21}}{28}$

$\frac{7\sqrt{21}}{196}$

$\frac{\sqrt{21}}{28}$

$\frac{\sqrt{21}}{4}$

• Question 8
300 seconds
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Q.

What is the conjugate of:
$8+3\sqrt{6}$

$8+3\sqrt{6}$

$3\sqrt{6}-8$

$8-3\sqrt{6}$

$3\sqrt{6}+8$

• Question 9
300 seconds
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Q.

Rationalize the denominator:
$\frac{1}{4\sqrt{10}}$

$\frac{\sqrt{1}}{4}$

$\frac{\sqrt{10}}{40}$

$\frac{1}{4}$

$\frac{\sqrt{10}}{400}$

• Question 10
300 seconds
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Q.

Rationalize the denominator:
$\frac{\sqrt{4}}{\sqrt{121}}$

$\frac{4}{11}$

$\frac{\sqrt{484}}{121}$

$\frac{2}{11}$

$\frac{2\sqrt{121}}{121}$

• Question 11
300 seconds
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Q.

What is the conjugate of:
$4\sqrt{2}-\sqrt{5}$

$4\sqrt{2}+\sqrt{5}$

$\sqrt{5}+4$

$4\sqrt{2}-\sqrt{5}$

27

• Question 12
300 seconds
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Q.

What should you multiply $\frac{3\sqrt{2}}{2-\sqrt{7}}$  by to rationalize the denominator?

$2-\sqrt{7}$

$\sqrt{7}$

$2+\sqrt{7}$

$\sqrt{2}$

• Question 13
300 seconds
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Q.

Rationalize the denominator:
$\frac{7\sqrt{3}}{\sqrt{10}}$

$\frac{70\sqrt{3}}{10}$

$\frac{7\sqrt{3}}{100}$

$\frac{7\sqrt{30}}{10}$

$7\sqrt{3}$

• Question 14
300 seconds
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Q.

Divide:
$\frac{10\sqrt{30}}{\sqrt{15}}$

$\frac{2\sqrt{30}}{3}$

$10\sqrt{2}$

20

$2\sqrt{10}$

• Question 15
300 seconds
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Q.

Divide:
$\frac{16\sqrt{42}}{2\sqrt{14}}$

$8\sqrt{14}$
$3\sqrt{8}$
$8\sqrt{3}$
$\frac{\sqrt{3}}{8}$