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

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) (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...
RELATED QUESTIONS
hello, I am on the last question on an assignment. I have tried already but im not sure... (answered by stanbon)

Estimating the unite rate. Hi. i know that the word unite equals one. Can you please... (answered by Alan3354)

I have a problem that says to simplify. I can get as far as the square root of 68. The... (answered by sarah_adam)

i need help with this one math problem i already did the problem but i don't think it's... (answered by AnlytcPhil)

This problem stumped me last night and tried to work it out but have no clue how I... (answered by solver91311)

3x^2+19x-14=0 then I have to write it in the quadratic formula.... (answered by Fombitz)

Tell me how can i answer this dont tell me the answer but please explain it to me: Joey... (answered by Theo)

Could someone please help me with this expression. I have tried but dont think I am doing (answered by edjones)

Simplify the following fraction. 2x^2+x-6 /2x+4 I did it this way but I am not sure if... (answered by jim_thompson5910)