SOLUTION: 4 sqrt 300 - 8 sqrt 75 why is the answer: 0 neeed a full break down

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Question 195128: 4 sqrt 300 - 8 sqrt 75


why is the answer: 0 neeed a full break down
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

4%2Asqrt%28300%29-8%2Asqrt%2875%29 Start with the given expression


4%2A10%2Asqrt%283%29-8%2Asqrt%2875%29 Simplify sqrt%28300%29 to get 10%2Asqrt%283%29.


4%2A10%2Asqrt%283%29-8%2A5%2Asqrt%283%29 Simplify sqrt%2875%29 to get 5%2Asqrt%283%29.


40%2Asqrt%283%29-8%2A5%2Asqrt%283%29 Multiply 4 and 10 to get 40.

40%2Asqrt%283%29-40%2Asqrt%283%29 Multiply 8 and 5 to get 40.


%2840-40%29%2Asqrt%283%29 Factor out the GCF sqrt%283%29


0%2Asqrt%283%29 Combine like terms.


0 Multiply

So 4%2Asqrt%28300%29-8%2Asqrt%2875%29 simplifies to 0.


In other words, 4%2Asqrt%28300%29-8%2Asqrt%2875%29=0