Question

How do you simplify `sqrt 27+sqrt3`?

Answer 1

`color(indigo)(4 sqrt3`

Explanation:

`sqrt27 + sqrt3`

`=> sqrt (3 * 3 * 3) + sqrt 3, " as " 27 = 3 * 3 * 3`

`sqrt3 " is common in both the terms. Taking it out"`,

`=>sqrt3 (sqrt (3* 3) + 1) ,`

`=> sqrt3 * (sqrt(3^2) + 1)`

`=> sqrt 3 * ( 3 + 1) = 4 sqrt3`