What is sqrt(\sqrt{\sqrt{\sqrt{6)}}} ?

The solution to sqrt(\sqrt{\sqrt{\sqrt{6)}}} is \sqrt[16]{6}

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simplify sqrt(\sqrt{\sqrt{\sqrt{6)}}}

simplify

6

Decimal Notation

1.11849 \dots

Solution steps

6

Apply radical rule:

a = a^{\frac{1}{2}}

Apply exponent rule:

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

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

Apply radical rule:

= (6^{\frac{1}{4}})^{\frac{1}{4}}

Apply exponent rule:

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

= 6^{\frac{1}{4} \cdot \frac{1}{4}}

\frac{1}{4} \cdot \frac{1}{4} = \frac{1}{16}

= 6^{\frac{1}{16}}

e^{- 5.1481} \cdot 100

(2.5 h^{4}) (8 h^{4})

ln (x) (x^{- 1})

- e^{- t} \cdot 2

5.4 e^{- 1.2}

What is sqrt(\sqrt{\sqrt{\sqrt{6)}}} ?
The solution to sqrt(\sqrt{\sqrt{\sqrt{6)}}} is \sqrt[16]{6}