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Popular >

simplify \sqrt[6]{8\sqrt[4]{2}}

Solution

simplify

Solution

+1

Solution steps

Apply radical rule:

Factor the number:

8 = 2^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

= 2^{0.5 + \frac{1}{24}}

Simplify

0.5 + \frac{1}{24} : \frac{13}{24}

= 2^{\frac{13}{24}}

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{8\sqrt[4]{2}} ?
The solution to \sqrt[6]{8\sqrt[4]{2}} is \sqrt[24]{2^{13}}