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

1 Answer
May 25, 2016

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