What is sqrt(\sqrt[3]{4a^2)} ?

The solution to sqrt(\sqrt[3]{4a^2)} is cube root of 2}\sqrt[6]{a^2

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simplify sqrt(\sqrt[3]{4a^2)}

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

= (4 a^{2})^{\frac{1}{6}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

(3 x) (4 x^{3})

(143)^{2}

\frac{1}{2} e^{- 1^{2}}

e^{- \frac{1}{2} l n ∣ 1 - x^{2} ∣}

4 e^{- \frac{1}{4}}

What is sqrt(\sqrt[3]{4a^2)} ?
The solution to sqrt(\sqrt[3]{4a^2)} is cube root of 2}\sqrt[6]{a^2