What is (sqrt(5x^4))/(sqrt(2x^2y^3)) ?

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

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simplify (sqrt(5x^4))/(sqrt(2x^2y^3))

simplify

\frac{5 x ^{4}}{2 x ^{2} y ^{3}}

\frac{5 x}{2 y y}

Solution steps

\frac{5 x ^{4}}{2 x ^{2} y ^{3}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{5 x ^{4}}{2 x ^{2} y ^{3}} = \frac{5 x ^{4}}{2 x ^{2} y ^{3}}

= \frac{5 x ^{4}}{2 x ^{2} y ^{3}}

Cancel

\frac{5 x ^{4}}{2 x ^{2} y ^{3}} : \frac{5 x ^{2}}{2 y ^{3}}

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

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

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

Simplify

5 x^{2} : 5 x

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

Simplify

2 y^{3} : 2 y y

= \frac{5 x}{2 y y}

\frac{x + 3}{2 x - 1} \geq 1

64.9 = 0.584 x + 6.6

1 \times (- 4 + (- 8))

- 5 y^{2} + 8 y + 8 = 8 y + 3

x^{2} - 12 x + 45 = 0

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