How do you simplify 5sqrt8-4sqrt72+3sqrt96?

1 Answer
Apr 30, 2016

5sqrt8-4sqrt72+3sqrt96=12sqrt6-14sqrt2

Explanation:

5sqrt8-4sqrt72+3sqrt96

= 5sqrt(ul(2xx2)xx2)-4sqrt(ul(2xx2)xx2xxul(3xx3))+3sqrt(ul(2xx2xx2xx2)xx2xx3)

= 5xx2xxsqrt2-4xx2xx3xxsqrt2+3xx2xx2xxsqrt(2xx3)

= 10sqrt2-24sqrt2+12sqrt6

= 12sqrt6-14sqrt2