Question

How do you simplify `sqrt72-sqrt147 -sqrt5 -sqrt 8+3sqrt48`?

Answer 1

`4sqrt2 + 5sqrt3 - sqrt5`

Explanation:

simplify terms:
`sqrt72 = sqrt(36xx2) = sqrt36 xx sqrt2 =6sqrt2`
`sqrt147 = sqrt(49xx3) = sqrt49 xx sqrt3 = 7sqrt3`
`3sqrt48 = 3 xx sqrt(16 xx 3) = 3 xx sqrt16 xx sqrt3 = 3 xx 4 sqrt3 = 12 sqrt3`
`sqrt8 = sqrt(4 xx 2) = sqrt4 xx sqrt2 = 2sqrt2`
add like terms:
`6sqrt2 - 2sqrt2 = 4sqrt2`
`-7sqrt3 + 12 sqrt3 = 5sqrt3`
combine:
`4sqrt2 + 5sqrt3 - sqrt5`