What is sqrt(\sqrt{\sqrt{-1)}} ?

The solution to sqrt(\sqrt{\sqrt{-1)}} is \sqrt[8]{-1}

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simplify sqrt(\sqrt{\sqrt{-1)}}

simplify

- 1

Solution steps

- 1

Apply radical rule:

= ((- 1)^{\frac{1}{4}})^{\frac{1}{2}}

Apply exponent rule:

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

= (- 1)^{\frac{1}{4} \cdot \frac{1}{2}}

\frac{1}{4} \cdot \frac{1}{2} = \frac{1}{8}

= (- 1)^{\frac{1}{8}}

6.282 \cdot 1 0^{- 5}

(2.192 \cdot 1 0^{- 7}) x^{5}

(32.1 \cdot 1 0^{3}) e^{- 2 \cdot (2.78 \cdot 1 0^{- 7}) \cdot 600}

2 π \cdot 60 \cdot (1.3905 \cdot 1 0^{- 6})

2.7 \cdot 1 0^{- 4} \cdot (1 + 0.004 \cdot (0 - 20))

What is sqrt(\sqrt{\sqrt{-1)}} ?
The solution to sqrt(\sqrt{\sqrt{-1)}} is \sqrt[8]{-1}