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Popular >

simplify sqrt(\sqrt{\sqrt{2)}}

Solution

simplify

2

Solution

+1

Decimal Notation

1.09050 \dots

Solution steps

2

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{\sqrt{2)}} ?
The solution to sqrt(\sqrt{\sqrt{2)}} is \sqrt[8]{2}