Question

√27 + √48 - √12 the correct answers for this please​

Answer 1

`√(27) + √(48) - √(12) \\ √(3 * 3 * 3) + √(2 * 2 * 2 * 2 * 3) - √(2 * 2 * 3) \\ 3 √(3) + 4 √(3) - 2 √(3) \\ 7 √(3) - 2 √(3) \\ \boxed{5 √(3)}`

5√3 is the right answer.

Answer 2

5
`√(3)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Simplifying the radicals

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

`√(48)` =
`√(16(3))` =
`√(16)` ×
`√(3)` = 4
`√(3)`

`√(12)` =
`√(4(3))` =
`√(4(3))` =
`√(4)` ×
`√(3)` = 2
`√(3)`

Then

`√(27)` +
`√(48)` -
`√(12)`

= 3
`√(3)` + 4
`√(3)` - 2
`√(3)`

= 5
`√(3)`