How do you simplify #\frac { 65} { \sqrt { 39} }#?

1 Answer
Bobert
Oct 16, 2017

The answer is #(5sqrt39)/3#

Explanation:

When writing numbers involving fractions and radicals, it is proper to rationalize the denominator (eliminate the root). In this example, you can accomplish this like so:

#65/sqrt39*sqrt39/sqrt39#

Simplifying gives:

#(65sqrt39)/39#

You can next divide the numerator and denominator by 13 to get:

#(5sqrt39)/3#

This is the most simplified form of the number.

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