SOLUTION: what is √27 + √75 + √12?

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Question 495891: what is √27 + √75 + √12?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2827%29%2Bsqrt%2875%29%2Bsqrt%2812%29 Start with the given expression


3%2Asqrt%283%29%2Bsqrt%2875%29%2Bsqrt%2812%29 Simplify sqrt%2827%29 to get 3%2Asqrt%283%29. Note: If you need help with simplifying square roots, check out this solver.


3%2Asqrt%283%29%2B5%2Asqrt%283%29%2Bsqrt%2812%29 Simplify sqrt%2875%29 to get 5%2Asqrt%283%29.


3%2Asqrt%283%29%2B5%2Asqrt%283%29%2B2%2Asqrt%283%29 Simplify sqrt%2812%29 to get 2%2Asqrt%283%29.


Since we have the common term sqrt%283%29, we can combine like terms


%283%2B5%2B2%29sqrt%283%29 Factor out the GCF sqrt%283%29


10%2Asqrt%283%29 Combine like terms.


So sqrt%2827%29%2Bsqrt%2875%29%2Bsqrt%2812%29 simplifies to 10%2Asqrt%283%29.


In other words, sqrt%2827%29%2Bsqrt%2875%29%2Bsqrt%2812%29=10%2Asqrt%283%29