What is \sqrt[3]{sqrt(5096)} ?

The solution to \sqrt[3]{sqrt(5096)} is cube root of 7}sqrt(2)\sqrt[6]{13

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simplify \sqrt[3]{sqrt(5096)}

simplify

Decimal Notation

4.14831 \dots

Solution steps

5096 = 1426

Apply radical rule:

Factor integer

14 = 2 \cdot 7

Apply radical rule:

Factor integer

26 = 2 \cdot 13

Apply radical rule:

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{\frac{1}{3} + \frac{1}{6}} = 2

2 e^{- 2 \cdot 3}

e^{- 42.43}

- 9 x^{2} \cdot (5 - x^{3})^{2}

e^{- 0.8 5^{2}}

What is \sqrt[3]{sqrt(5096)} ?
The solution to \sqrt[3]{sqrt(5096)} is cube root of 7}sqrt(2)\sqrt[6]{13