What is sqrt(\sqrt[3]{3x^2)} ?

The solution to sqrt(\sqrt[3]{3x^2)} is \sqrt[6]{3}\sqrt[6]{x^2}

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simplify sqrt(\sqrt[3]{3x^2)}

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

= (3 x^{2})^{\frac{1}{6}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

2 e^{- 2 (l n (2))}

5 \cdot (2.4 \cdot 1 0^{- 5})

(\frac{3}{4} p^{4} q^{5} r) (\frac{8}{9} p^{2} q^{3} r^{6})

e^{- \frac{1}{0.75}} \cdot (1 - e^{- \frac{1}{0.75}})^{4}

1000 \cdot 501.72 \cdot 1 0^{- 6}

What is sqrt(\sqrt[3]{3x^2)} ?
The solution to sqrt(\sqrt[3]{3x^2)} is \sqrt[6]{3}\sqrt[6]{x^2}