SOLUTION: Square root of 200a^2b

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Question 615606: Square root of 200a^2b
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28200%2Aa%5E2%2Ab%29 Start with the given expression.


sqrt%28100%2A2%2Aa%5E2%2Ab%29 Factor 200 into 100%2A2


sqrt%28100%29%2Asqrt%282%29%2Asqrt%28a%5E2%29%2Asqrt%28b%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


10%2Asqrt%282%29%2Asqrt%28a%5E2%29%2Asqrt%28b%29 Take the square root of 100 to get 10.


10%2Asqrt%282%29%2Aa%2Asqrt%28b%29 Take the square root of a%5E2 to get a.


10a%2Asqrt%282b%29 Rearrange and multiply the terms.

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Answer:


So sqrt%28200%2Aa%5E2%2Ab%29 simplifies to 10a%2Asqrt%282b%29


In other words, sqrt%28200%2Aa%5E2%2Ab%29=10a%2Asqrt%282b%29 where every variable is non-negative.