Question

Simplify this expression

Answer 1

option 4

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` =
`√(ab)`

Given

(2 - 5
`√(6)` ) 3
`√(2)` ← distribute parenthesis by 3
`√(2)`

= 6
`√(2)` - 15
`√(12)`

= 6
`√(2)` - 15
`√(4(3))`

= 6
`√(2)` - 15(
`√(4)` ×
`√(3)` )

= 6
`√(2)` - 15(2
`√(3)` )

= 6
`√(2)` - 30
`√(3)`