How would you simplify #3sqrt5#?

1 Answer
Mar 3, 2018

Answer:

#3sqrt(5)# is already in simplest form

Explanation:

The form #3sqrt(5)# is normally considered simplest form.

It is possible to express the same value as a single square root:

#3sqrt(5) = sqrt(3^2)sqrt(5) = sqrt(3^2 * 5) = sqrt(45)#

However, this is not usually considered the simplest form. We would normally simplify #sqrt(45)# as #3sqrt(5)#.