What is sqrt(\sqrt[6]{256)} ?

The solution to sqrt(\sqrt[6]{256)} is cube root of 2^2

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simplify sqrt(\sqrt[6]{256)}

simplify

Decimal Notation

1.58740 \dots

Solution steps

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

Apply radical rule:

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

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

Apply radical rule:

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

Apply exponent rule:

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

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

= 2^{\frac{1}{2} + \frac{1}{6}}

\frac{1}{2} + \frac{1}{6} = \frac{2}{3}

= 2^{\frac{2}{3}}

7.56 \cdot 1 0^{- 10}

2 e^{- 2 t}

2 3 + 5 3 - 5

0.9 \cdot 1 0^{- 6}

What is sqrt(\sqrt[6]{256)} ?
The solution to sqrt(\sqrt[6]{256)} is cube root of 2^2