Rationalize denominator

Remove radicals from the denominator by multiplying by the conjugate or appropriate radical.

Expression

Why rationalize?

Convention says no radicals in denominators. 1/√2 becomes √2/2 by multiplying top and bottom by √2.

Conjugates

For denominators like (a+√b), multiply by the conjugate (a−√b). Example: 1/(1+√3) × (1−√3)/(1−√3) = (1−√3)/(1−3) = (√3−1)/2.

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