SOLUTION: Can you please help me with this math problem? thanks-----> Add. Simplify by collecting like radical terms if possible, assuming that all expressions under radic

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Question 432343: Can you please help me with this math problem? thanks-----> Add. Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers.√5a+8√45a^3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers.√5a+8√45a^3
sqrt%285a%29+%2B+8%2Asqrt%2845a%5E3%29
Factor inside the 2nd radical to reveal perfect squares
sqrt%285a%29+%2B+8%2Asqrt%289%2A5%2Aa%5E2%2Aa%29
Extract the square root of those squares, leaving:
sqrt%285a%29+%2B+3%2A8%2Aa%2Asqrt%285a%29
which is
sqrt%285a%29+%2B+24a%2Asqrt%285a%29
or
24a%2Asqrt%285a%29+%2B+sqrt%285a%29
Factor out sqrt%285a%29
sqrt%285a%29%2824a%2B1%29