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Popular >

simplify \sqrt[4]{\sqrt[3]{4}}

Solution

simplify

Solution

+1

Decimal Notation

1.12246 \dots

Solution steps

Apply radical rule:

= (4^{\frac{1}{3}})^{\frac{1}{4}}

Apply exponent rule:

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

= 4^{\frac{1}{3} \cdot \frac{1}{4}}

\frac{1}{3} \cdot \frac{1}{4} = \frac{1}{12}

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

Factor the number:

4 = 2^{2}

Apply exponent rule:

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

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{\sqrt[3]{4}} ?
The solution to \sqrt[4]{\sqrt[3]{4}} is \sqrt[6]{2}