Evaluate
\sqrt[4]{5}-\sqrt[4]{2}\approx 0.306141666
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\sqrt[4]{5}-\sqrt[8]{4}
Combine 3\sqrt[4]{5} and -2\sqrt[4]{5} to get \sqrt[4]{5}.
\sqrt[8]{4}=\sqrt[8]{2^{2}}=2^{\frac{2}{8}}=2^{\frac{1}{4}}=\sqrt[4]{2}
Rewrite \sqrt[8]{4} as \sqrt[8]{2^{2}}. Convert from radical to exponential form and cancel out 2 in the exponent. Convert back to radical form.
\sqrt[4]{5}-\sqrt[4]{2}
Insert the obtained value back in the expression.
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