What is sqrt(8x^2y^4+16xy^4) ?

The solution to sqrt(8x^2y^4+16xy^4) is 2sqrt(2)y^2sqrt(x(x+2))

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simplify sqrt(8x^2y^4+16xy^4)

simplify

8 x^{2} y^{4} + 16 x y^{4}

22 y^{2} x (x + 2)

Solution steps

8 x^{2} y^{4} + 16 x y^{4}

Factor out common term

8 x y^{4} : 8 x y^{4} (x + 2)

= 8 x y^{4} (x + 2)

8 x y^{4} (x + 2) = 8 y^{4} x (x + 2)

= 8 y^{4} x (x + 2)

Simplify

y^{4} : y^{2}

= 8 y^{2} x (x + 2)

8 = 22

= 22 y^{2} x (x + 2)

\frac{1}{81}

5^{2} \cdot 6^{2} \cdot 3^{4}

\frac{1}{tan ^{2} ( θ )}

2 7^{2}

\frac{n ^{7}}{n ^{3}}

What is sqrt(8x^2y^4+16xy^4) ?
The solution to sqrt(8x^2y^4+16xy^4) is 2sqrt(2)y^2sqrt(x(x+2))