SOLUTION: Simplify each expression. Rationalize all denominators. Assume that all variables are positive. √8x^3 * √2x^5

Algebra ->  Radicals -> SOLUTION: Simplify each expression. Rationalize all denominators. Assume that all variables are positive. √8x^3 * √2x^5      Log On


   

Question 407332: Simplify each expression. Rationalize all denominators.
Assume that all variables are positive.
√8x^3 * √2x^5
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%288x%5E3%29+%2A+sqrt%282x%5E5%29..........The square root of a product
is equal to the product of the square roots
of each factor.


sqrt%28%288x%5E3%29%282x%5E5%29%29....To multiply powers of the same base, add the exponents.

sqrt%2816x%5E8%29....here you can write x%5E8 using "power of a power" rule as (x%5E8=%28x%5E4%29%5E2,

sqrt%284%5E2%28x%5E4%29%5E2%29...
4x%5E4%29