What is (\sqrt[3]{sqrt(2)-1})^2 ?

The solution to (\sqrt[3]{sqrt(2)-1})^2 is (sqrt(2)-1)^{2/3}

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simplify (\sqrt[3]{sqrt(2)-1})^2

simplify

(2 - 1)^{\frac{2}{3}}

Decimal Notation

0.55566 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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

450 \cdot e^{- 1.128}

e^{((- 0.5))}

(5 x^{3} y^{4}) (6 y^{3})

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

What is (\sqrt[3]{sqrt(2)-1})^2 ?
The solution to (\sqrt[3]{sqrt(2)-1})^2 is (sqrt(2)-1)^{2/3}