Surds - Rationalising The Denominator

This lesson covers:

  1. How to rationalise the denominator of a fraction
  2. Basically, this just means 'get rid of any surds on the bottom of a fraction'

Rationalise the denominator of the following fraction:

√23​
\frac{3\sqrt{2}}{2}

0

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1

Rationalise the denominator of the following fraction:

√36​
2\sqrt{3}

0

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1

Rationalise the denominator of the following fraction:

√54​
\frac{4\sqrt{5}}{5}

0

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1

Rationalise the denominator of the following fraction:

√3√12​
2

0

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1

Rationalise the denominator of the following fraction:

√12√75​
2.5|\frac{5}{2}

0

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1

Rationalise the denominator of the following fraction:

√21+√5​
\frac{\sqrt{2}+\sqrt{10}}{2}|\frac{\sqrt{10}+\sqrt{2}}{2}

0

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1

Rationalise the denominator of the following fraction:

2+√38​
16-8\sqrt{3}|-8\sqrt{3}+16

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1