What is (sqrt(20x^7y^{10)})/(sqrt(y^2)) ?

The solution to (sqrt(20x^7y^{10)})/(sqrt(y^2)) is 2sqrt(5)x^3y^4sqrt(x)

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simplify (sqrt(20x^7y^{10)})/(sqrt(y^2))

simplify

\frac{20 x ^{7} y ^{10}}{y ^{2}}

25 x^{3} y^{4} x

Solution steps

\frac{20 x ^{7} y ^{10}}{y ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{20 x ^{7} y ^{10}}{y ^{2}} = \frac{20 x ^{7} y ^{10}}{y ^{2}}

= \frac{20 x ^{7} y ^{10}}{y ^{2}}

Cancel

\frac{20 x ^{7} y ^{10}}{y ^{2}} : 20 x^{7} y^{8}

= 20 x^{7} y^{8}

20 x^{7} y^{8} = 20 x^{7} y^{8}

= 20 x^{7} y^{8}

Simplify

x^{7} : x^{3} x

= 20 x^{3} x y^{8}

Simplify

y^{8} : y^{4}

= 20 x^{3} x y^{4}

20 = 25

= 25 x^{3} x y^{4}

= 25 x^{3} y^{4} x

x^{3} + 6 x^{2} + 5 x - 12

5 \cdot 5

x (2 x + 3) \geq 5

2 x^{2} + 16 x - 10 = 0

6 x^{2} - 5 x = 0

What is (sqrt(20x^7y^{10)})/(sqrt(y^2)) ?
The solution to (sqrt(20x^7y^{10)})/(sqrt(y^2)) is 2sqrt(5)x^3y^4sqrt(x)