Question

What is the square root of 7 divided by the square root of 17?

Answer 1

`sqrt119/17~~0.641688947`

Explanation:

We are asked to simplify `sqrt7/sqrt17`

`sqrt7/sqrt17=sqrt7/sqrt17*sqrt17/sqrt17=(sqrt7sqrt17)/17=sqrt(7*17)/17=sqrt119/17`

Is this answer simpler than the original question? Not really.

However, when radicals appear in the denominator of a fraction, it is standard practice to "rationalize the denominator".

That is, to modify the expression in such a way that the denominator contains only rational numbers.