How do you simplify $\frac{\sqrt{720}}{y^{9}}$ $(sqrt720)/y^9$ ?

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How do you simplify $\frac{\sqrt{720}}{y^{9}}$ $(sqrt720)/y^9$ ?

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Answer 1 · 2015-03-24T01:30:10

Factor $720$ $720$ to see if there are any factors that can be extracted from the radical:
$720 = (16) (9) (5) = (4^{2}) (3^{2}) (5)$ $720 = (16)(9)(5) = (4^2)(3^2)(5)$
So
$\sqrt{720} = 12 \sqrt{5}$ $sqrt(720) = 12 sqrt(5)$

There isn't much that can be done with the denominator (perhaps it was meant to be inside the square root?)

So the answer is
$\frac{\sqrt{720}}{y^{9}} = \frac{12 \sqrt{5}}{y^{9}}$ $sqrt(720)/(y^9) = (12 sqrt(5))/(y^9)$ or $= 12 \sqrt{5} y^{- 9}$ $= 12 sqrt(5) y^(-9)$

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How do you simplify $\frac{\sqrt{720}}{y^{9}}$ $(sqrt720)/y^9$ ?

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