One of the things we learned this week in Precalc 11 is Dividing Radicals. Basically dividing a radical by a radical, the main goal is to turn the denomination into a rational number.

Ex.

This one is actually pretty easy, you can just divide 10 by 5 so the answer would be

In the case of you can’t divide 20 by 3

we can multiply it by so the denominator is a perfect square.

x

then we can simply it to

For binomial radicals in the denominator, we have to use conjugates (a+b)(a-b) to square a and b term.

Ex.

we have to use the conjugates of which is

=x

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=

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