What is the square root of 5 divided by the square root of 15?

1 Answer
Alan P.
Sep 21, 2015

1/sqrt(3)
or
sqrt(3)/3 (if you like rational denominators)

Explanation:

sqrt(5)/sqrt(15)

=sqrt(5)/(sqrt(3)*sqrt(5))

=cancel(sqrt(5))/(sqrt(3)*cancel(sqrt(5)))

=1/sqrt(3)

To rationalize the denominator:

=1/sqrt(3)*sqrt(3)/sqrt(3)

=sqrt(3)/3

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