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Popular >

simplify \sqrt[6]{sqrt(64)}

Solution

simplify

Solution

2

+1

Decimal Notation

1.41421 \dots

Solution steps

Apply radical rule:

= (6 4^{\frac{1}{2}})^{\frac{1}{6}}

Apply exponent rule:

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

= 6 4^{\frac{1}{2} \cdot \frac{1}{6}}

\frac{1}{2} \cdot \frac{1}{6} = \frac{1}{12}

= 6 4^{\frac{1}{12}}

Factor the number:

64 = 2^{6}

Apply exponent rule:

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

= 2

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{sqrt(64)} ?
The solution to \sqrt[6]{sqrt(64)} is square root of 2