Question

How do you simplify the following radical expression: √ 3(√ 27-√ 3)

Answer 1

6

Explanation:

using the rules of radicals

•
`√(a)` ×
`√(b)` ⇔
`√(ab)`

•
`√(a)` ×
`√(a)` = (
`√(a)` )² = a

given

`√(3)` (
`√(27)` -
`√(3)` ) ← distribute parenthesis by
`√(3)`

=
`√(3)` ×
`√(27)` - (
`√(3)` )²

=
`√(3(27))` - 3

=
`√(81)` - 3

= 9 - 3

= 6