SOLUTION: Add simplify by collecting like radical terms if possible. Assuming that all expressions under radicals represent nion negative numbers Thank you Please show each step &#

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Question 332576: Add simplify by collecting like radical terms if possible. Assuming that all expressions under radicals represent nion negative numbers
Thank you
Please show each step
√7a+5√(175a^3 )
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%287a%29%2B5%2Asqrt%28175a%5E3%29
Factor inside the 2nd radical to reveal the perfect squares
sqrt%287a%29%2B5%2Asqrt%287%2A25a%5E2a%29
Extract those squares
sqrt%287a%29%2B5%2A5%2Aa%2Asqrt%287a%29
sqrt%287a%29+%2B+25a%2Asqrt%287a%29
We can't just add them as like terms because of the 25a, but we can
Factor out sqrt%287a%29
sqrt%287a%29%281+%2B+25a%29
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response to student comment
You have to factor out sqrt%287a%29, not 7a, & write it sqrt%287a%29%281+%2B+25a%29