Question

Combine and simplify the following radical expression.

(2^3 square root 12) (3^3 square root 2)

Answer 1

432
`√(6)`

Explanation:

Given: (
`2^(3)`
`√(12)`)(
`3^(3)`
`√(2)`)

= (8
`√(4*3)`)(27
`√(2)`)

= (8*2
`√(3)`)(27
`√(2)`)

= (16
`√(3)`)(27
`√(2)`)

So that;

16 x 27 x
`√(3)` x
`√(2)`

= 432
`√(6)`

Thus the radical expression given can be simplified as 432
`√(6)`