SOLUTION: simplify the square root of 32x^2/the square root of 2x

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Question 194534: simplify
the square root of 32x^2/the square root of 2x

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(32x^2) / sqrt(2x)
sqrt( 16*2 x^2) / sqrt(2x)
4x sqrt2 / ( sqrt2 * sqrtx )
4x / sqrt x
4x (sqrtx) / ( sqrtx *sqrtx )
4x sqrtx / x
4 sqrtx,,,,,,,,,ANSWER
,
check, Let x =3
original ( sqrt(32 *3^2) ) / sqrt(2*3) = 6.928
answer,, 4 sqrt(3) = 6.928,,,,ok