SOLUTION: √216x^3

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Question 555508: √216x^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28216%2Ax%5E3%29 Start with the given expression.


sqrt%2836%2A6%2Ax%5E3%29 Factor 216 into 36%2A6


sqrt%2836%2A6%2Ax%5E2%2Ax%29 Factor x%5E3 into x%5E2%2Ax


sqrt%2836%29%2Asqrt%286%29%2Asqrt%28x%5E2%29%2Asqrt%28x%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


6%2Asqrt%286%29%2Asqrt%28x%5E2%29%2Asqrt%28x%29 Take the square root of 36 to get 6.


6%2Asqrt%286%29%2Ax%2Asqrt%28x%29 Take the square root of x%5E2 to get x.


6x%2Asqrt%286x%29 Rearrange and multiply the terms.

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Answer:


So sqrt%28216%2Ax%5E3%29 simplifies to 6x%2Asqrt%286x%29


In other words, sqrt%28216%2Ax%5E3%29=6x%2Asqrt%286x%29 where every variable is non-negative.

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