What is sqrt(1+(x^3+1/(16x))^2) ?

The solution to sqrt(1+(x^3+1/(16x))^2) is (sqrt(256x^2+256x^8+32x^4+1))/(16x)

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simplify sqrt(1+(x^3+1/(16x))^2)

simplify

1 + (x^{3} + \frac{1}{16 x})^{2}

\frac{256 x ^{2} + 256 x ^{8} + 32 x ^{4} + 1}{16 x}

Solution steps

1 + (x^{3} + \frac{1}{16 x})^{2}

Simplify

1 + (x^{3} + \frac{1}{16 x})^{2} : \frac{256 x ^{2} + 256 x ^{8} + 32 x ^{4} + 1}{256 x ^{2}}

= \frac{256 x ^{2} + 256 x ^{8} + 32 x ^{4} + 1}{256 x ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{256 x ^{2} + 256 x ^{8} + 32 x ^{4} + 1}{256 x ^{2}}

Simplify

256 x^{2} : 16 x

= \frac{256 x ^{2} + 256 x ^{8} + 32 x ^{4} + 1}{16 x}

3 (cos (x) + 4)

w^{\frac{3}{7}} (w^{\frac{4}{7}} + 5 w^{\frac{18}{7}})

\frac{sin ( x )}{x ( x + 1 )}

3 (1 + \frac{2}{n} i)^{2}

What is sqrt(1+(x^3+1/(16x))^2) ?
The solution to sqrt(1+(x^3+1/(16x))^2) is (sqrt(256x^2+256x^8+32x^4+1))/(16x)