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\sqrt{\sqrt[4]{2}}
Use the rules of exponents to simplify the expression.
2^{\frac{1}{4}\times \frac{1}{2}}
To raise a power to another power, multiply the exponents.
\sqrt[8]{2}
Multiply \frac{1}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.