What is sqrt(\sqrt{\sqrt{81)}} ?

The solution to sqrt(\sqrt{\sqrt{81)}} is square root of 3

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simplify sqrt(\sqrt{\sqrt{81)}}

simplify

81

3

Decimal Notation

1.73205 \dots

Solution steps

81

Apply radical rule:

= (8 1^{\frac{1}{4}})^{\frac{1}{2}}

Apply exponent rule:

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

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

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

= 8 1^{\frac{1}{8}}

= 3

(1)^{2} e^{- 2 (1)}

7 x

1.6 \cdot 1 0^{- 6}

4.5 \cdot 1 0^{- 6}

What is sqrt(\sqrt{\sqrt{81)}} ?
The solution to sqrt(\sqrt{\sqrt{81)}} is square root of 3