What is (sqrt(72x^2y^5))/(sqrt(8x^2y^7)) ?

The solution to (sqrt(72x^2y^5))/(sqrt(8x^2y^7)) is 3/y

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simplify (sqrt(72x^2y^5))/(sqrt(8x^2y^7))

simplify

\frac{72 x ^{2} y ^{5}}{8 x ^{2} y ^{7}}

\frac{3}{y}

Solution steps

\frac{72 x ^{2} y ^{5}}{8 x ^{2} y ^{7}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{72 x ^{2} y ^{5}}{8 x ^{2} y ^{7}} = \frac{72 x ^{2} y ^{5}}{8 x ^{2} y ^{7}}

= \frac{72 x ^{2} y ^{5}}{8 x ^{2} y ^{7}}

Cancel

\frac{72 x ^{2} y ^{5}}{8 x ^{2} y ^{7}} : \frac{9}{y ^{2}}

= \frac{9}{y ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{9}{y ^{2}}

9 = 3

= \frac{3}{y ^{2}}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

= \frac{3}{y}

3 x - 2 (x + 6) \geq 18

(x - 7) (x - 6) (x + 1) > 0

(9 x)^{\frac{1}{2}}

x^{2} - x > 0

(- 3 c^{4} - 5 c^{2} - 7 c) + (4 c^{4} + 8 c^{3} + 2 c^{2})

What is (sqrt(72x^2y^5))/(sqrt(8x^2y^7)) ?
The solution to (sqrt(72x^2y^5))/(sqrt(8x^2y^7)) is 3/y