SOLUTION: I have to simplify the following expression. Can you please tell me if I did this right? sqrt45x^23 That is the square root of 45 x to the 23rd power. Here is what I am get

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I have to simplify the following expression. Can you please tell me if I did this right? sqrt45x^23 That is the square root of 45 x to the 23rd power. Here is what I am get      Log On


   

Question 43139: I have to simplify the following expression. Can you please tell me if I did this right?
sqrt45x^23 That is the square root of 45 x to the 23rd power.
Here is what I am getting. I'm not sure I am doing the "to the power" part right.
sqrt 9*x^16*5x^7
= sqrt9x^16 * sqrt5x^7
= 3x^4 sqrt5x^7
Am I right?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Close. You pull out the LARGEST perfect square you can, noticing that any even power of x is a perfect square, so that
sqrt(45x^23) =
sqrt(9x^22)*sqrt(5x) =
3x^11 * sqrt(5x)
Also notice that the square root of a power is half the power, not the square root of the exponent...