What is \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}} ?

The solution to \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}} is cube root of 2}\sqrt[3]{2^{4/9}

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simplify \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}}

simplify

Decimal Notation

1.39617 \dots

Solution steps

Apply radical rule:

assuming

a \geq 0, b \geq 0

lo g_{8} (32)

\frac{3 \times 4}{11} - \frac{11}{3 \times 4}

3 \times 18

12 \times \frac{1}{3}

4 x^{2} - 2 x + 3 x

What is \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}} ?
The solution to \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}} is cube root of 2}\sqrt[3]{2^{4/9}