Question

What is the square root of 15 times (square root of 12 - square root of 15)?

Answer 1

I simplified up to: `6sqrt(5)-15`

Explanation:

Considering your problem as:

`sqrt(15)(sqrt(12)-sqrt(15))=`
we can multiply:

`=sqrt(15)sqrt(12)-sqrt(15)sqrt(15)=sqrt(15)sqrt(12)-15=`

because: `sqrt(15)sqrt(15)=(sqrt(15))^2=15`

Then we have:
`=sqrt(15)sqrt(12)-15=sqrt(15*12)-15=sqrt(5*3*4*3)-15=`
`=sqrt(5)sqrt(9)sqrt(4)-15=3*2sqrt(5)-15=6sqrt(5)-15`