How do you simplify $sqrt((3x^3)/(64x^2))$ ?

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Answer 1 · 2017-04-05T15:39:12

$sqrt(3x)/8$

Remember that if you dividing under a root, you can split it into two separate roots:

$sqrt((3x^3)/(64x^2)) = (sqrt(3x^3))/(sqrt(64x^2)) = (sqrt(3x xx x^2))/(sqrt(64x^2)$

Now find the square roots where you can:

$(sqrt(3x xx color(red)(x^2)))/(sqrt(color(blue)(64x^2)))=(color(red)(x)sqrt(3x))/(color(blue)(8x))$

Now simplify:

$sqrt(3x)/8$

OR you could simplify under the root first:

$sqrt((3x^3)/(64x^2)) = sqrt((3x)/(64))$

$= sqrt(3x)/8$

How do you simplify sqrt((3x^3)/(64x^2))sqrt((3x^3)/(64x^2))?