Question

How do you simplify `sqrt3(sqrt5 - sqrt3)`?

Answer 1

See the entire solution process below:

Explanation:

First, rewrite this expression as:

`(sqrt(3) * sqrt(5)) - (sqrt(3) * sqrt(3))`

Now, use this rule for radicals to combine the terms within parenthesis;

`sqrt(a) * sqrt(b) = sqrt(a * b)`

`(sqrt(3) * sqrt(5)) - (sqrt(3) * sqrt(3)) =`sqrt(3 * 5) - sqrt(3 * 3) =#

`sqrt(15) - sqrt(9) = sqrt(15) +- 3`