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6 January, 23:15

Do you always multiply by conjugate when simplifying radicals in a denominator

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  1. 7 January, 02:17
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    If the denominator is simply another radical, then just multiply by the radical over itself. However, if the denominator is an expression with a radical, such as 2-sqrt5, then you need to multiply by its conjugate over itself, which would be 2+sqrt5 in this case.

    Note: The reason you multiply by the radical / conjugate over itself is because you are simply multiplying by 1 (since anything divided by itself is 1). However, you are still able to manipulate the denominator regardless.
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