What is \sqrt[3]{9+4sqrt(5)}^2 ?

The solution to \sqrt[3]{9+4sqrt(5)}^2 is (9+4sqrt(5))^{2/3}

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simplify \sqrt[3]{9+4sqrt(5)}^2

simplify

(9 + 45)^{\frac{2}{3}}

Decimal Notation

6.85410 \dots

Solution steps

Apply radical rule:

= ((9 + 45)^{\frac{1}{3}})^{2}

Apply exponent rule:

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

= (9 + 45)^{\frac{1}{3} \cdot 2}

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

= (9 + 45)^{\frac{2}{3}}

3.04 x 1 0^{(- 6)}

e (e^{- x})

4.36 \cdot 1 0^{- 5}

What is \sqrt[3]{9+4sqrt(5)}^2 ?
The solution to \sqrt[3]{9+4sqrt(5)}^2 is (9+4sqrt(5))^{2/3}