SOLUTION: Express in simplest form {{{7 sqrt(12) + 8 sqrt(147) - 15 sqrt(27)}}} Thanks so much!

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Question 917676: Express in simplest form 7+sqrt%2812%29+%2B+8+sqrt%28147%29+-+15+sqrt%2827%29
Thanks so much!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
7+sqrt%2812%29+%2B+8+sqrt%28147%29+-+15+sqrt%2827%29
Show it this way:
7*sqrt(12)+8*sqrt(147)-15sqrt(27)
Not known why the rendering did not work right for you...
7%2Asqrt%2812%29%2B8%2Asqrt%28147%29-15sqrt%2827%29

The radicals contains a few 3's factors.
7%2Asqrt%282%2A2%2A3%29%2B8%2Asqrt%283%2A7%2A7%29-15%2Asqrt%283%2A3%2A3%29
7%2A2%2Asqrt%283%29%2B8%2A7%2Asqrt%283%29-15%2A3%2Asqrt%283%29
14%2Asqrt%283%29%2B56%2Asqrt%283%29-45%2Asqrt%283%29

How is that now for you? You know how to finish?

(You understood as terms of square root of three: 25%2Asqrt%283%29 .)