What is sqrt((272p^9)/(324q^2)) ?

The solution to sqrt((272p^9)/(324q^2)) is (2sqrt(17)p^4sqrt(p))/(9q)

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simplify sqrt((272p^9)/(324q^2))

simplify

\frac{272 p ^{9}}{324 q ^{2}}

\frac{2 17 p ^{4} p}{9 q}

Solution steps

\frac{272 p ^{9}}{324 q ^{2}}

Cancel

\frac{272 p ^{9}}{324 q ^{2}} : \frac{68 p ^{9}}{81 q ^{2}}

= \frac{68 p ^{9}}{81 q ^{2}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{68 p ^{9}}{81 q ^{2}}

Simplify

68 p^{9} : 217 p^{4} p

= \frac{2 17 p ^{4} p}{81 q ^{2}}

Simplify

81 q^{2} : 9 q

= \frac{2 17 p ^{4} p}{9 q}

- \frac{2}{3} \cdot 3

6 x^{2} + 15 = 23 x

0 - (- 1)

\frac{x + 1}{x - 6} \geq \frac{x + 2}{x - 4}

x^{2} + 9 x y + 14 y^{2}

What is sqrt((272p^9)/(324q^2)) ?
The solution to sqrt((272p^9)/(324q^2)) is (2sqrt(17)p^4sqrt(p))/(9q)