Question

How do you simplify `sqrt(75)-sqrt3`?

Answer 1

`4sqrt3`

Explanation:

Write 75 as the product of its prime factors, then we know what we are working with.

`75 = 5xx5xx3 = 5^2 xx3`

`sqrt75 - sqrt3`

=`sqrt(5^2 xx 3) - sqrt3 " find any possible roots"`

=`5sqrt3 - 1sqrt3 =4sqrt3 " we have like terms"`