SOLUTION: Use the properties for radical to simplfiy, assume all variables represent positive real numbers: sqrt 12x^3/5 I do not know how to continue this problem with the x^3 involve

Algebra ->  Radicals -> SOLUTION: Use the properties for radical to simplfiy, assume all variables represent positive real numbers: sqrt 12x^3/5 I do not know how to continue this problem with the x^3 involve      Log On


   



Question 65684: Use the properties for radical to simplfiy, assume all variables represent positive real numbers:
sqrt 12x^3/5
I do not know how to continue this problem with the x^3 involved. Can anyone help me out?

Found 2 solutions by stanbon, chitra:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt 12x^3/5
---------
Whenever you are asked to simplify roots you should break the
problem into two factors. The 1st should be a power of the root
you are looking for. The 2nd should be the factors that do not
meet that criteria.
So for your problem
Sqrt(12) = sqrt(4*3)=2sqrt3
sqrt(x^3)= sqrt(x^2*x)=xsqrtx
You get:
=(2x)sqrt(3x/5)
or
=(2/5)xsqrt(15x)
Cheers,
Stan H.

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given Expression is:

sqrt%2812x%5E3%2F5%29


We know that 12 can be factored as 4 * 3 and x%5E3 can be factored as x%5E2+%2A+x


Thus, the above expression becomes:


sqrt%284+%2A+3+%2A+x%5E2+%2A+x%2F5%29


2xsqrt%283x%2F5%29


Thus, the solution.