What is (sqrt(63xy^3))/(sqrt(7y)) ?

The solution to (sqrt(63xy^3))/(sqrt(7y)) is 3ysqrt(x)

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simplify (sqrt(63xy^3))/(sqrt(7y))

simplify

\frac{63 x y ^{3}}{7 y}

3 y x

Solution steps

\frac{63 x y ^{3}}{7 y}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{63 x y ^{3}}{7 y} = \frac{63 x y ^{3}}{7 y}

= \frac{63 x y ^{3}}{7 y}

Cancel

\frac{63 x y ^{3}}{7 y} : 9 x y^{2}

= 9 x y^{2}

9 x y^{2} = 9 x y^{2}

= 9 x y^{2}

9 = 3

= 3 x y^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

= 3 x y

= 3 y x

- x^{2} + x

\frac{5}{9} \cdot 9

∣ x - 3 ∣ = x^{2} - 3

(5^{2}) (5^{4})

5 - 3 (2 x - 7) > 12 - 5 (x - 2)

What is (sqrt(63xy^3))/(sqrt(7y)) ?
The solution to (sqrt(63xy^3))/(sqrt(7y)) is 3ysqrt(x)