How do you simplify 5 over square root of 7?

2 Answers
Sep 20, 2015

You cannot.

Explanation:

Let's see,
#frac(5)(sqrt(7))#
5 is a prime number (you cannot make 5 by multiplying two integers).
7 is also a prime number.
Therefore you cannot simplify this fraction further.
You can rewrite it though.
#frac(5)(sqrt(7)) = 5*7^(frac(-1)(2))#

Sep 20, 2015

#5/sqrt(7) = (5sqrt(7))/7#

Explanation:

You cannot simplify it much, but you can rationalise the denominator by multiplying both numerator and denominator by #sqrt(7)#:

#5/sqrt(7) = (5sqrt(7))/(sqrt(7)sqrt(7)) = (5sqrt(7))/7#