SOLUTION: How would you simplify the square root of 36x^10 + 100x^8 ?

Algebra ->  Algebra  -> Radicals -> SOLUTION: How would you simplify the square root of 36x^10 + 100x^8 ?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 638331: How would you simplify the square root of 36x^10 + 100x^8 ?
Answer by jim_thompson5910(28476) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2836x%5E10+%2B+100x%5E8%29+=+sqrt%284x%5E8%289x%5E2+%2B+25%29%29

sqrt%2836x%5E10+%2B+100x%5E8%29+=+sqrt%284x%5E8%29%2Asqrt%289x%5E2+%2B+25%29

sqrt%2836x%5E10+%2B+100x%5E8%29+=+sqrt%28%282x%5E4%29%5E2%29%2Asqrt%289x%5E2+%2B+25%29

sqrt%2836x%5E10+%2B+100x%5E8%29+=+2x%5E4%2Asqrt%289x%5E2+%2B+25%29

which is the final answer