What is \sqrt[3]{sqrt(-7)} ?

The solution to \sqrt[3]{sqrt(-7)} is \sqrt[6]{-1}\sqrt[6]{7}

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simplify \sqrt[3]{sqrt(-7)}

simplify

Solution steps

Apply radical rule:

= ((- 7)^{\frac{1}{2}})^{\frac{1}{3}}

Apply exponent rule:

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

= (- 7)^{\frac{1}{2} \cdot \frac{1}{3}}

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

= (- 7)^{\frac{1}{6}}

Apply radical rule:

250 \cdot e^{- 0.04 (12)}

\frac{( a + 1 ) ^{2}}{( a - 1 ) ^{2}}

(\frac{14}{10} t + 0.31)^{- 2} d t

2 e^{- t} cos (\frac{π t}{2})

What is \sqrt[3]{sqrt(-7)} ?
The solution to \sqrt[3]{sqrt(-7)} is \sqrt[6]{-1}\sqrt[6]{7}