# How do you rationalize the denominator and simplify #sqrt21/sqrt55#?

##### 1 Answer

Apr 9, 2015

The fraction does not change if both numerator and denominator are multiplied by the same number.

Multiply them by

The result will be

The denominator is now equal to *a number, which produces #55# if squared*.

As for numerator, we can use the following property of *square root* for any two non-negative numbers:

Using this property, we can represent the numerator as

The final expression is