Simplifying Radicals

These flashcards cover key concepts related to simplifying radicals and rationalizing denominators.

A radical is not simplified if there is a __________ in the radical or a radical in the __________.

fraction; denominator

To simplify radicals, we must find an equivalent fraction with a __________ denominator.

perfect square

Results from the quadratic formula will have __________ and __________ parts.

rational; irrational

In simplifying a radical, we can use the process of __________ the denominator.

rationalizing

For example, simplifying radicals like
ad{36xy^2} involves finding perfect square factors such as __________ and __________.

36; x^2

The simplified form of 20x^5 is __________.

4x^2
ad{5x}