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

The solution to sqrt(\sqrt{\sqrt{\sqrt{\sqrt{x)}}}} is \sqrt[32]{x}

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simplify sqrt(\sqrt{\sqrt{\sqrt{\sqrt{x)}}}}

simplify

x

Solution steps

x

Apply radical rule:

= (x^{\frac{1}{16}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{16} \cdot \frac{1}{2}}

\frac{1}{16} \cdot \frac{1}{2} = \frac{1}{32}

= x^{\frac{1}{32}}

7.5 \times 1 0^{- 5}

27 \cdot 2

L e^{(- 2 t)} sin (5 t)

\frac{1}{2} (\frac{2}{2})

What is sqrt(\sqrt{\sqrt{\sqrt{\sqrt{x)}}}} ?
The solution to sqrt(\sqrt{\sqrt{\sqrt{\sqrt{x)}}}} is \sqrt[32]{x}