# Algebra

Square roots. Woohoo. Want to check some work I did.
1. Perform indicated operations
3sqrt+2sqrt-sqrt
3sqrt+2sqrt[3*9]-sqrt[2*6]
3sqrt+3*2sqrt-2sqrt
3sqrt+6sqrt-2sqrt
= 7sqrt

2.Simplify
sqrt[49x^12y^4z^8]
= 7x^6y^2z^4

3.Multply
(8sqrt+3sqrt)(4sqrt-5sqrt
32sqrt-40sqrt+12sqrt-15sqrt
32*6-40sqrt+12sqrt-15*2
192 - 28sqrt -30
162 - 28sqrt

or am i missing a step?
192-40sqrt[4*3]+12sqrt[4*3]-30
162-40*4sqrt+12*4sqrt
162-160sqrt+48sqrt
162- 128sqrt which I think turns into 162 -56sqrt

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