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It depends on what the denominator was to start with: a surd or irrational or a complex number.

You need to find the conjugate and multiply the numerator by this conjugate as well as the denominator by the conjugate. Since multiplication is by [conjugate over conjugate], which equals 1, the value is not affected.

If a and b are rational numbers, then

conjugate of sqrt(b) = sqrt(b)

conjugate of a + sqrt(b) = a - sqrt(b), and

conjugate of a + ib = a - ib where i is the imaginary square root of -1.

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Q: How do you rationalise the denominator?
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