SOLUTION: Please help me solve this equation: Simplify the following: √10x * √8x

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Question 191973: Please help me solve this equation:
Simplify the following:
√10x * √8x
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2810x%29%2Asqrt%288x%29 Start with the given expression.


sqrt%2810x%2A8x%29 Combine the roots


sqrt%2880x%5E2%29 Multiply


sqrt%2816%2A5%2Ax%5E2%29 Factor 80 into 16%2A5


sqrt%2816%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.


4%2Asqrt%285%29%2Asqrt%28x%5E2%29 Take the square root of 16 to get 4.


4%2Asqrt%285%29%2Ax Take the square root of x%5E2 to get x.


4x%2Asqrt%285%29 Rearrange the terms.

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Answer:


So sqrt%2810x%29%2Asqrt%288x%29 simplifies to 4x%2Asqrt%285%29


In other words, sqrt%2810x%29%2Asqrt%288x%29=4x%2Asqrt%285%29 where x%3E=0