Question

Simplify fully V8 x V18

Answer 1

12

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)` and
`√(a)` ×
`√(a)` = a

Given

`√(8)` ×
`√(18)`

Simplifying each radical

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

`√(18)` =
`√(9(2))` =
`√(9)` ×
`√(2)` = 3
`√(2)`

Thus

`√(8)` ×
`√(18)`

= 2
`√(2)` × 3
`√(2)`

= 2 × 3 ×
`√(2)` ×
`√(2)`

= 6 × 2

= 12

Answer 2

12

Explanation:

·
`√(8)`×
`√(18)`=
`√(144)`

`√(144)`=12