How do you simplify sqrt5/sqrt3?

1 Answer
Shell
Dec 21, 2016

sqrt15/3

Explanation:

Simplify sqrt5/sqrt3

Radicals are not "allowed" in the denominator, at least not until you get to higher levels of math. To get rid of the radical, you must "rationalize" the denominator by multiplying both the numerator and denominator by the denominator.

In this case, we multiply by sqrt3/sqrt3. Note that sqrt3/sqrt3=1, and multiplying by one does not change the value of a number.

sqrt5/sqrt3*sqrt3/sqrt3 =sqrt15/sqrt9=sqrt15/3

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1651 views around the world
You can reuse this answer
Creative Commons License