SOLUTION: I am having trouble completely solving this square root problem. I know the part √70,000 is 100√7 but not sure how to solve the part before it. Thank you for your help

Algebra ->  Square-cubic-other-roots -> SOLUTION: I am having trouble completely solving this square root problem. I know the part √70,000 is 100√7 but not sure how to solve the part before it. Thank you for your help      Log On


   

Question 589139: I am having trouble completely solving this square root problem. I know the part √70,000 is 100√7 but not sure how to solve the part before it. Thank you for your help.
-5√3(2√12+3√21)+√70,000
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
I am having trouble completely solving this square root problem. I know the part √70,000 is 100√7 but not sure how to solve the part before it. Thank you for your help.
===========================
sqrt%2812%29+=+2%2Asqrt%283%29
And sqrt%2821%29+=+sqrt%287%29%2Asqrt%283%29
Multiplyig through and simplifying gives
-20%2A3+-+15%2A3%2Asqrt%287%29+%2B+100%2Asqrt%287%29
Combine terms:
-60+%2B+%28-45+%2B+100%29%2Asqrt%287%29
-60+%2B+55%2Asqrt%287%29