SOLUTION: add and simplify by collecting like radical terms if possible: √3a + 2√75a^3

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Question 338770: add and simplify by collecting like radical terms if possible:
√3a + 2√75a^3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
add and simplify by collecting like radical terms if possible:
sqrt%283a%29 + 2%2Asqrt%2875a%5E3%29
:
factor to reveal the perfect squares inside the radical
sqrt%283a%29 + 2%2Asqrt%283%2A25%2Aa%5E2%2Aa%29
:
Extract those perfect squares
sqrt%283a%29 + 2%2A5%2Aa%2Asqrt%283a%29
sqrt%283a%29 + 10a%2Asqrt%283a%29
These aren't like terms that you can add but you can factor
sqrt%283a%29%281+%2B+10a%29