Free Printable Rationalize Denominator

1.

Rationalize the denominator. Simplify the answer. $\frac{4\ +\sqrt{6}}{\sqrt{2}\ +\sqrt{3}}$

a)

$\sqrt{3}\ -\sqrt{2}$

b)

$2\sqrt{3}\ -\ \sqrt{2}$

c)

$\sqrt{3}+2\sqrt{2}$

d)

$2\sqrt{3}+\sqrt{2}$

2.

Rationalize the denominator. Simplify the expression. $\frac{2\ -\sqrt{3}}{4\ +\sqrt{3}}$

a)

$\frac{11\ +6\sqrt{3}}{13}$

b)

$\frac{11\ -6\sqrt{3}}{13}$

c)

$\frac{-11\ +\sqrt{3}}{13}$

d)

$\frac{-11\ +2\sqrt{3}}{13}$

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

Rationalize the denominator $\frac{6}{3+\sqrt{7}}$

6.

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

7.

Rationalize the denominator of the expression \frac{8x}{\sqrt{x-8}} and simplify.

8.

Rationalize the denominator of $\frac{5}{\sqrt{2} + 1}$

9.

Rationalise the Denominator: $\frac{\left(3+\sqrt[]{4}\right)}{\sqrt[]{2}}$

Rationalize Denominator

Total questions: 9

Worksheet time: 9mins

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