What is \sqrt[6]{8\sqrt[4]{2}} ?

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

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

simplify

Decimal Notation

1.45565 \dots

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}}

(4 x - 7 y)^{2}

x^{4} - 25 y^{2}

\frac{39}{9}

1^{2} + x^{2}

\frac{( 2 x + 5 ) - 5}{2}

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