What is (sqrt(6x^8y^9))/(sqrt(5x^2y^4)) ?

The solution to (sqrt(6x^8y^9))/(sqrt(5x^2y^4)) is (sqrt(6)x^3y^2sqrt(y))/(sqrt(5))

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simplify (sqrt(6x^8y^9))/(sqrt(5x^2y^4))

simplify

\frac{6 x ^{8} y ^{9}}{5 x ^{2} y ^{4}}

\frac{6 x ^{3} y ^{2} y}{5}

Solution steps

\frac{6 x ^{8} y ^{9}}{5 x ^{2} y ^{4}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{6 x ^{8} y ^{9}}{5 x ^{2} y ^{4}} = \frac{6 x ^{8} y ^{9}}{5 x ^{2} y ^{4}}

= \frac{6 x ^{8} y ^{9}}{5 x ^{2} y ^{4}}

Cancel

\frac{6 x ^{8} y ^{9}}{5 x ^{2} y ^{4}} : \frac{6 x ^{6} y ^{5}}{5}

= \frac{6 x ^{6} y ^{5}}{5}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{6 x ^{6} y ^{5}}{5}

Simplify

6 x^{6} y^{5} : 6 x^{3} y^{2} y

= \frac{6 x ^{3} y ^{2} y}{5}

s^{2} + 3 s + 2 < 0

2 = x + \frac{2}{3}

- x + 8 + 3 x = - 6

- 3 < 5 x + 7 < 42

6 x + 30 = 84

What is (sqrt(6x^8y^9))/(sqrt(5x^2y^4)) ?
The solution to (sqrt(6x^8y^9))/(sqrt(5x^2y^4)) is (sqrt(6)x^3y^2sqrt(y))/(sqrt(5))