SOLUTION: What is 6 square root 2 (4 square root 3 - 3 square root 8) ?

Algebra ->  Radicals -> SOLUTION: What is 6 square root 2 (4 square root 3 - 3 square root 8) ?      Log On


   



Question 67907: What is 6 square root 2 (4 square root 3 - 3 square root 8) ?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What is 6 square root 2 (4 square root 3 - 3 square root 8) ?
:
You can write it:
6*Sqrt(2)* [4*Sqrt(3) - 3*Sqrt(8)]
:
6*Sqrt(2) [4*Sqrt(3) - 3*Sqrt(2*2*2)]; you can factor 8 to find the square in it
:
6*Sqrt(2)[4*Sqrt(3) - 2*3*Sqrt(2)]; extract the Sqrt of 2*2
:
6*Sqrt(2)[4*Sqrt(3) - 6*Sqrt(2)]; multiply 2*3
:
multiply 6*Sqrt(2) by what's inside the brackets:
:
24*Sqrt(2*3) - 36*Sqrt(2*2)
:
24*Sqrt(6) - 36 * 2; the sqrt of 2*2 is 2
:
24*Sqrt(6) - 72; is about as simplified as you can get
:
Did you follow this OK?