Question

How do you simplify `2sqrt3(4sqrt5 - 3sqrt20 - sqrt45)`?

Answer 1

`-10sqrt(15)`

Explanation:

`2sqrt(3)(4sqrt(5)-3sqrt(20)-sqrt(45))=2sqrt(3)(4sqrt(5)-3sqrt(2^2xx5)-sqrt(3^2xx5))=2sqrt(3)(4sqrt(5)-3xx2sqrt(5)-3sqrt(5))=2sqrt(3)(4-6-3)sqrt(5)=2(-5)sqrt(3xx5)=-10sqrt(15)`