# Do you always have to rationalize the denominator?

##### 2 Answers

May 9, 2018

You should for a final answer, unless the question says otherwise

May 9, 2018

See below.

#### Explanation:

Technically no.

The general reason why it is desirable, is to have a standard form. If for example you look a trig ratios that have radicals, these are given with rationalized denominators, so it makes it easier to recognize these ratios when you rationalize the denominator in your calculations. Another reason is before the age of calculators and computers it was considered easier to preform calculations when the denominator was an integer.

Consider this, divide

By hand.

Not easy.

But, after rationalizing:

The