What is (sqrt(48x^3))/(sqrt(3xy^2)) ?

The solution to (sqrt(48x^3))/(sqrt(3xy^2)) is (4x)/y

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simplify (sqrt(48x^3))/(sqrt(3xy^2))

simplify

\frac{48 x ^{3}}{3 x y ^{2}}

\frac{4 x}{y}

Solution steps

\frac{48 x ^{3}}{3 x y ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{48 x ^{3}}{3 x y ^{2}} = \frac{48 x ^{3}}{3 x y ^{2}}

= \frac{48 x ^{3}}{3 x y ^{2}}

Cancel

\frac{48 x ^{3}}{3 x y ^{2}} : \frac{16 x ^{2}}{y ^{2}}

= \frac{16 x ^{2}}{y ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{16 x ^{2}}{y ^{2}}

Simplify

16 x^{2} : 4 x

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

= \frac{4 x}{y}

3 = y + 6

3 x^{2} + 10 x + 7

x^{3}

2 w^{2} - 15 w + 19 = 0

3 x^{2} + 5 x + 2 = 0

What is (sqrt(48x^3))/(sqrt(3xy^2)) ?
The solution to (sqrt(48x^3))/(sqrt(3xy^2)) is (4x)/y