How do you rationalize the denominator and simplify #5/sqrt5#?

1 Answer
Mar 18, 2016

Answer:

The answer is #sqrt5#

Explanation:

To rationalize a fraction where the denominator is a surd, you must multiply both the numerator and the denominator by the surd denominator of the original fraction.
So #5/sqrt5# is multiplied by #sqrt5/sqrt5# which keeps
its value the same as #sqrt5/sqrt5#=1
This gives you #(5sqrt5)/(sqrt5sqrt5)#
which is #(5sqrt5)/5#
and this simplifies to #sqrt5#