What is (sqrt(15xy))/(3sqrt(10xy^3)) ?

The solution to (sqrt(15xy))/(3sqrt(10xy^3)) is 1/(sqrt(6)y)

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simplify (sqrt(15xy))/(3sqrt(10xy^3))

simplify

\frac{15 x y}{3 10 x y ^{3}}

\frac{1}{6 y}

Solution steps

\frac{15 x y}{3 10 x y ^{3}}

Simplify

10 x y^{3} : 10 x y y

= \frac{15 x y}{3 10 x y y}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

15 x y = x 15 y

= \frac{x 15 y}{3 10 x y y}

Cancel the common factor:

x

= \frac{15 y}{3 10 y y}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

15 y = y 15

= \frac{y 15}{3 10 y y}

Cancel the common factor:

y

= \frac{15}{3 10 y}

Factor

15 : 53

= \frac{5 3}{3 10 y}

Factor

10 : 52

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

Cancel the common factor:

5

= \frac{3}{3 2 y}

Apply radical rule:

a = a a

3 = 33

= \frac{3}{3 3 2 y}

Cancel the common factor:

3

= \frac{1}{3 2 y}

Simplify

32 y : 6 y

= \frac{1}{6 y}

(x - 4)^{\frac{2}{3}} < (2 x)^{\frac{1}{3}}

x - 6 < 4

\frac{( 2 + i )}{( 2 - i )}

2 (b + 12) = 16

What is (sqrt(15xy))/(3sqrt(10xy^3)) ?
The solution to (sqrt(15xy))/(3sqrt(10xy^3)) is 1/(sqrt(6)y)