Dealing With More Square Roots
For a denominator that is:
Rationalisation can be achieved by multiplying by the Conjugate:
and applying the difference of two squares identity, which here will yield −1. To get this result, the entire fraction should be multiplied by
This technique works much more generally. It can easily be adapted to remove one square root at a time, i.e. to rationalise
by multiplication by
Example:
The fraction must be multiplied by a quotient containing .
Now, we can proceed to remove the square roots in the denominator:
Read more about this topic: Rationalisation (mathematics)
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