Dividing radicals is similar to multiplying them. For radicals with the same indexes, the coefficients are divided and the radicands are divided.

A radical expression in simplest form has no radicals in the denominator.

Rationalizing the denominator is a process that will 'remove' a radical from the denominator without changing its value.


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For further information about multiplying and dividing radicals see Examples 1, 2, and 3 on pp. 192 - 196 of Principles of Mathematics 11.