What is sqrt(\sqrt[3]{1+x^4)} ?

The solution to sqrt(\sqrt[3]{1+x^4)} is \sqrt[6]{x^4+1}

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simplify sqrt(\sqrt[3]{1+x^4)}

simplify

Solution steps

Apply radical rule:

= ((1 + x^{4})^{\frac{1}{3}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (1 + x^{4})^{\frac{1}{3} \cdot \frac{1}{2}}

\frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}

= (1 + x^{4})^{\frac{1}{6}}

\frac{e ^{7}}{e ^{3}}

xx - 4

742 x^{3} x

What is sqrt(\sqrt[3]{1+x^4)} ?
The solution to sqrt(\sqrt[3]{1+x^4)} is \sqrt[6]{x^4+1}