How do you simplify $(4sqrt3 - 5sqrt2 ) * (2sqrt3 + 3sqrt2)$ ?

Question

1944 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-02T17:35:33

$(4sqrt(3) - 5sqrt(2)) * (2sqrt(3) + 3sqrt(2)) =$

$4sqrt(3) * 2sqrt(3) + 4sqrt(3) * 3sqrt(2) -5sqrt(2) * 2sqrt(3) -5sqrt(2) * 3sqrt(2) =$

$8sqrt(3*3) +12sqrt(3*2) -10sqrt(2*3) -15sqrt(2*2) =$

$8sqrt(3^2) + 12sqrt(6) - 10sqrt(6) - 15sqrt(2^2) =$

$8*3 + 12sqrt(6) - 10sqrt(6) - 15*2 =$

$24 + sqrt(6) * (12 - 10) - 30 =$

Answer: $2sqrt(6) - 6$

How do you simplify (4sqrt3 - 5sqrt2 ) * (2sqrt3 + 3sqrt2)(4sqrt3 - 5sqrt2 ) * (2sqrt3 + 3sqrt2)?