What is \sqrt[3]{\sqrt[4]{3}} ?

The solution to \sqrt[3]{\sqrt[4]{3}} is \sqrt[12]{3}

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simplify \sqrt[3]{\sqrt[4]{3}}

simplify

Decimal Notation

1.09587 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

= 3^{\frac{1}{4} \cdot \frac{1}{3}}

\frac{1}{4} \cdot \frac{1}{3} = \frac{1}{12}

= 3^{\frac{1}{12}}

\frac{1}{3} \cdot 3.14 \cdot 5^{2} \cdot 5

e^{- 6 l n ∣ x ∣}

(2 x^{5} y^{2}) (3 y^{3})

8

\frac{- 75}{- 3}

What is \sqrt[3]{\sqrt[4]{3}} ?
The solution to \sqrt[3]{\sqrt[4]{3}} is \sqrt[12]{3}