What is (sqrt(56x^5y^5))/(sqrt(7xy)) ?

The solution to (sqrt(56x^5y^5))/(sqrt(7xy)) is 2sqrt(2)x^2y^2

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simplify (sqrt(56x^5y^5))/(sqrt(7xy))

simplify

\frac{56 x ^{5} y ^{5}}{7 x y}

22 x^{2} y^{2}

Solution steps

\frac{56 x ^{5} y ^{5}}{7 x y}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{56 x ^{5} y ^{5}}{7 x y} = \frac{56 x ^{5} y ^{5}}{7 x y}

= \frac{56 x ^{5} y ^{5}}{7 x y}

Cancel

\frac{56 x ^{5} y ^{5}}{7 x y} : 8 x^{4} y^{4}

= 8 x^{4} y^{4}

8 x^{4} y^{4} = 8 x^{4} y^{4}

= 8 x^{4} y^{4}

Simplify

x^{4} : x^{2}

= 8 x^{2} y^{4}

Simplify

y^{4} : y^{2}

= 8 x^{2} y^{2}

8 = 22

= 22 x^{2} y^{2}

- 12 < 4 y \leq 4

x^{2} = - 64

3 x = 2 x

7 + 3 n > 16

What is (sqrt(56x^5y^5))/(sqrt(7xy)) ?
The solution to (sqrt(56x^5y^5))/(sqrt(7xy)) is 2sqrt(2)x^2y^2