SOLUTION: what is the square root of 125x^2? (square root of 125x squared?

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Question 180689: what is the square root of 125x^2? (square root of 125x squared?
Found 3 solutions by jim_thompson5910, josmiceli, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28125%2Ax%5E2%29 Start with the given expression.


sqrt%2825%2A5%2Ax%5E2%29 Factor 125 into 25%2A5


sqrt%2825%29%2Asqrt%285%29%2Asqrt%28x%5E2%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


5%2Asqrt%285%29%2Asqrt%28x%5E2%29 Take the square root of 25 to get 5.


5%2Asqrt%285%29%2Ax Take the square root of x%5E2 to get x.


5x%2Asqrt%285%29 Rearrange and combine the terms.

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Answer:


So sqrt%28125%2Ax%5E2%29 simplifies to 5x%2Asqrt%285%29


In other words, sqrt%28125%2Ax%5E2%29=5x%2Asqrt%285%29 where x%3E=0

Answer by josmiceli(19441) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the square root of 125x^2
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sqrt[(25x^2)(5)]
= 5x*sqrt(5)
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Cheers,
Stan H.