What is (sqrt(75x^2y^3))/(5sqrt(3xy)) ?

The solution to (sqrt(75x^2y^3))/(5sqrt(3xy)) is ysqrt(x)

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Popular >

simplify (sqrt(75x^2y^3))/(5sqrt(3xy))

Solution

simplify

\frac{75 x ^{2} y ^{3}}{5 3 x y}

Solution

y x

Solution steps

\frac{75 x ^{2} y ^{3}}{5 3 x y}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

75 x^{2} y^{3} = 75 x^{2} y^{3}

= \frac{75 x ^{2} y ^{3}}{5 3 x y}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

3 x y = 3 x y

= \frac{75 x ^{2} y ^{3}}{5 3 x y}

Factor

75 : 3 \cdot 5

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

Cancel the common factor:

3

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

Cancel the common factor:

5

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

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

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

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

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x y = x y

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{xx y ^{3}}{x y}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

xx = x x

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

Cancel the common factor:

x

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

y^{3} = y y^{2}

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

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

y y^{2} = y y^{2}

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

Cancel the common factor:

y

= x y^{2}

Apply radical rule:

assuming

a \geq 0

= y x

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Frequently Asked Questions (FAQ)

What is (sqrt(75x^2y^3))/(5sqrt(3xy)) ?
The solution to (sqrt(75x^2y^3))/(5sqrt(3xy)) is ysqrt(x)