Question

Simplify the expression (2 square root sign 27) - (3 square root sign 32)

Answer 1

6
`√(3)` - 12
`√(2)`

Explanation:

Using the rule of radicals

•
`√(a)` ×
`√(b)` ⇔
`√(ab)`

Simplifying the radicals

`√(27)` =
`√(9(3))` =
`√(9)` ×
`√(3)` = 3
`√(3)`

`√(32)` =
`√(16(2))` =
`√(16)` ×
`√(2)` = 4
`√(2)`

Hence

(2 × 3
`√(3)`) - (3 × 4
`√(2)`)

= 6
`√(3)` - 12
`√(2)`