What is \sqrt[4]{4^{sqrt(2)}} ?

The solution to \sqrt[4]{4^{sqrt(2)}} is 4^{1/(2sqrt(2))}

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simplify \sqrt[4]{4^{sqrt(2)}}

simplify

4^{\frac{1}{2 2}}

Decimal Notation

1.63252 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

2 \frac{1}{4} = \frac{1}{2 2}

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

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

- e^{- \infty} (\infty + 1)

(1.6 \cdot 1 0^{- 19}) (0.016)

a + b a - b

- 4 x (c (x - c)^{2}) (2 c (x - c))

1 6^{12} or 1 6^{8 + 4}

What is \sqrt[4]{4^{sqrt(2)}} ?
The solution to \sqrt[4]{4^{sqrt(2)}} is 4^{1/(2sqrt(2))}