What is (sqrt(54x^5y^3))/(sqrt(2x^2y)) ?

The solution to (sqrt(54x^5y^3))/(sqrt(2x^2y)) is 3sqrt(3)xysqrt(x)

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simplify (sqrt(54x^5y^3))/(sqrt(2x^2y))

simplify

\frac{54 x ^{5} y ^{3}}{2 x ^{2} y}

33 x y x

Solution steps

\frac{54 x ^{5} y ^{3}}{2 x ^{2} y}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{54 x ^{5} y ^{3}}{2 x ^{2} y} = \frac{54 x ^{5} y ^{3}}{2 x ^{2} y}

= \frac{54 x ^{5} y ^{3}}{2 x ^{2} y}

Cancel

\frac{54 x ^{5} y ^{3}}{2 x ^{2} y} : 27 x^{3} y^{2}

= 27 x^{3} y^{2}

27 x^{3} y^{2} = 27 x^{3} y^{2}

= 27 x^{3} y^{2}

Simplify

x^{3} : x x

= 27 x x y^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

= 27 x x y

27 = 33

= 33 x x y

= 33 x y x

\frac{1}{2} a = 11

7 - \frac{1}{2}

s^{2} + 8 s + 2 = 0

x^{4} - 3 x^{2} - 10 > 0

\frac{1}{- 3.99 9 ^{2} - 16}

What is (sqrt(54x^5y^3))/(sqrt(2x^2y)) ?
The solution to (sqrt(54x^5y^3))/(sqrt(2x^2y)) is 3sqrt(3)xysqrt(x)