What is sqrt(\sqrt{\sqrt{\sqrt{9)}}} ?

The solution to sqrt(\sqrt{\sqrt{\sqrt{9)}}} is \sqrt[8]{3}

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simplify sqrt(\sqrt{\sqrt{\sqrt{9)}}}

simplify

9

Decimal Notation

1.14720 \dots

Solution steps

9

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:

= (9^{\frac{1}{4}})^{\frac{1}{4}}

Apply exponent rule:

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

= 9^{\frac{1}{4} \cdot \frac{1}{4}}

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

= 9^{\frac{1}{16}}

(11 + 13) (11 + 13)

(20)^{3}

e^{- 2 t} (2 e^{2 t} t - e^{2 t} + C)

a^{2} x b^{2}

e^{- \frac{t}{2}}

What is sqrt(\sqrt{\sqrt{\sqrt{9)}}} ?
The solution to sqrt(\sqrt{\sqrt{\sqrt{9)}}} is \sqrt[8]{3}