# Algebra

posted by
**John** on
.

Square roots. Woohoo. Want to check some work I did.

1. Perform indicated operations

3sqrt[3]+2sqrt[27]-sqrt[12]

3sqrt[3]+2sqrt[3*9]-sqrt[2*6]

3sqrt[3]+3*2sqrt[3]-2sqrt[3]

3sqrt+6sqrt[3]-2sqrt[3]

= 7sqrt[3]

2.Simplify

sqrt[49x^12y^4z^8]

= 7x^6y^2z^4

3.Multply

(8sqrt[6]+3sqrt[2])(4sqrt[6]-5sqrt[2]

32sqrt[36]-40sqrt[12]+12sqrt[12]-15sqrt[4]

32*6-40sqrt[12]+12sqrt[12]-15*2

192 - 28sqrt[12] -30

162 - 28sqrt[12]

or am i missing a step?

192-40sqrt[4*3]+12sqrt[4*3]-30

162-40*4sqrt[3]+12*4sqrt[3]

162-160sqrt[3]+48sqrt[3]

162- 128sqrt[3] which I think turns into 162 -56sqrt[3]