SOLUTION: Help!! I have to turn these in!! I'm not even sure where to begin! Simplify: sqrt[144x^10y^12z^18] perform the indicated operations: sqrt[50]+2sqrt[32]-sqrt[8] multipl

Algebra ->  Radicals -> SOLUTION: Help!! I have to turn these in!! I'm not even sure where to begin! Simplify: sqrt[144x^10y^12z^18] perform the indicated operations: sqrt[50]+2sqrt[32]-sqrt[8] multipl      Log On


   



Question 33345: Help!! I have to turn these in!! I'm not even sure where to begin!
Simplify:
sqrt[144x^10y^12z^18]
perform the indicated operations:
sqrt[50]+2sqrt[32]-sqrt[8]
multiply
(5sqrt[2]+3)(sqrt[2]-2sqrt[3])

Found 2 solutions by stanbon, sarah_adam:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a) sqrt[ ] = 12x^5y^6z^9
b) = 5sqrt2 +2(4)sqrt2 - 2sqrt2
= (5+8-2)sqrt2 = 11sqrt2
c) Use FOIL to get:
5(2)-10sqrt(6)+3sqrt2-6sqrt3
Cheers,
Stan H.

Answer by sarah_adam(201) About Me  (Show Source):
You can put this solution on YOUR website!
I have already solved those problems before...
square root[144x^10y^12z^18]
sqrt%28%2812%29%5E2%28x%5E5%29%5E2%28y%5E6%29%5E2%28z%5E9%29%5E2%29%29
12%28x%5E5%29%28y%5E6%29%28z%5E9%29
square root[50]+2 square root[32]- square root[8]
sqrt%2850%29+2sqrt%2832%29-sqrt%288%29
sqrt%2825%2A2%29+2sqrt%2816%2A2%29-sqrt%284%2A2%29
5%2Asqrt%282%29+2%2A4%28sqrt%282%29%29-2%28sqrt%282%29%29
sqrt%282%29%2A%285%2B8-2%29
11%2A%28sqrt%282%29%29
(5sqrt%282%29+3)(sqrt%282%29-+2%28sqrt%283%29%29)
5(2)+3sqrt%282%29-10sqrt%286%29-6sqrt%283%29
10 +3sqrt%282%29-10sqrt%286%29-6sqrt%283%29