What is \sqrt[3]{sqrt(3x+1)} ?

The solution to \sqrt[3]{sqrt(3x+1)} is \sqrt[6]{3x+1}

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simplify \sqrt[3]{sqrt(3x+1)}

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}

= (3 x + 1)^{\frac{1}{6}}

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

c e^{- x}

\frac{1}{2} e^{- jπ}

1 \cdot 1 0^{- 3} \cdot 0.1

1.49 \cdot 1 0^{- 7}

What is \sqrt[3]{sqrt(3x+1)} ?
The solution to \sqrt[3]{sqrt(3x+1)} is \sqrt[6]{3x+1}