Question

How do you simplify `sqrt3(sqrt27-sqrt3)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`(sqrt(3) * sqrt(27)) - (sqrt(3) * sqrt(3))`

Next, use this rule for multiplying radicals to again rewrite the expression as:

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

`(sqrt(3) * sqrt(27)) - (sqrt(3) * sqrt(3)) = sqrt(3 * 27) - sqrt(3 * 3) =>`

`sqrt(81) - sqrt(9) => 9 - 3 => 6`