SOLUTION: Is this correct? -9- radical 108, over 3(negative nine minus a square root of 108 over 3) My answer is the square root of 3 times sqr root of 4, is this correct?

Algebra ->  Radicals -> SOLUTION: Is this correct? -9- radical 108, over 3(negative nine minus a square root of 108 over 3) My answer is the square root of 3 times sqr root of 4, is this correct?       Log On


   



Question 112089: Is this correct?
-9- radical 108, over 3(negative nine minus a square root of 108 over 3)
My answer is the square root of 3 times sqr root of 4, is this correct?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
-9- radical 108, over 3(negative nine minus a square root of 108 over 3)
My answer is the square root of 3 times sqr root of 4, is this correct?
:
I don't think so; I would do it this way.
:
Assume you mean:
%28-9+-sqrt%28108%29%29%2F3
:
Factor inside the radical to reveal a perfect square (9)
%28-9+-sqrt%289%2A12%29%29%2F3
:
Extract the sqrt of 9
%28-9+-+3sqrt%2812%29%29%2F3
:
Which is:
%28-9%29%2F3 - %283sqrt%2812%29%29%2F3
:
cancel the 3's and
-3+-+sqrt%2812%29
:
Factor inside the radical to reveal another perfect square:
-3+-+sqrt%284%2A3%29
:
-3+-+2sqrt%283%29