SOLUTION: Simply sqrt of x^15. Answer in the form A*sqrt of B. I tried but could not figure it out.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simply sqrt of x^15. Answer in the form A*sqrt of B. I tried but could not figure it out.       Log On


   

Question 297339: Simply sqrt of x^15. Answer in the form A*sqrt of B. I tried but could not figure it out.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: We can rewrite x%5E15 as x%5E15=x%2Ax%5E14=x%2A%28x%5E7%29%5E2. This then means that sqrt%28x%5E15%29=sqrt%28x%2A%28x%5E7%29%5E2%29. From here, break up the square root to get sqrt%28x%2A%28x%5E7%29%5E2%29=sqrt%28x%29%2Asqrt%28%28x%5E7%29%5E2%29. I'll let you take it from here.