How do you simplify sqrt(25)/sqrt(5)?

1 Answer
Dec 7, 2015

=color(blue)(sqrt5

Explanation:

sqrt25/sqrt5

We know that :
sqrt25 =5

So, the expression now becomes:

sqrt25/sqrt5 =5/sqrt5

Rationalising the denominator:

(5 * color(blue)(sqrt5))/(sqrt5 * color(blue)(sqrt5

=(5sqrt5)/(sqrt5*sqrt5)

=(cancel5sqrt5)/(cancel5)

=color(blue)(sqrt5