Question

What is the simplest form of the radical expression? 6sqrt2/sqrt8

Answer 1

3

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Given

`(6√(2) )/(√(8) )`

Simplify the denominator

`√(8)` =
`√(4(2))` =
`√(4)` ×
`√(2)` = 2
`√(2)`

Fraction reduces to

`(6√(2) )/(2√(2) )` ← cancel the radical

=
`(6)/(2)` = 3