SOLUTION: I am taking a pre admissions test for RN school. I am 2 questions away from passing and one of them is this. (sqrt 12x 2nd power y 3rd power) ( sqrt 8xy)=? Please help!!

Algebra ->  Square-cubic-other-roots -> SOLUTION: I am taking a pre admissions test for RN school. I am 2 questions away from passing and one of them is this. (sqrt 12x 2nd power y 3rd power) ( sqrt 8xy)=? Please help!!      Log On


   

Question 74430: I am taking a pre admissions test for RN school. I am 2 questions away from passing and one of them is this. (sqrt 12x 2nd power y 3rd power) ( sqrt 8xy)=?
Please help!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2812x%5E2y%5E3%29%28sqrt%28+8xy%29%29Both square roots can be broken up since sqrt%28xy%29=sqrt%28x%29%2Asqrt%28y%29

Rewrite the radicals as exponents
Break up the square roots

When multiplying bases with exponents you add the exponents.
%284%2Asqrt%283%29%2Asqrt%282%29%2Ax%5E%281%2B1%2F2%29%2Ay%5E%283%2F2%2B1%2F2%29%29
%284%2Asqrt%283%29%2Asqrt%282%29%2Ax%5E%283%2F2%29%2Ay%5E%282%29%29So there's the simplified answer.