MathematicsIf P+14×74 is a mixed surd, then the least possible integral value of P is

If $\sqrt[4]{P + 1} \times \sqrt[4]{7}$ is a mixed surd, then the least possible integral value of P is

\sqrt[4]{P + 1} \times \sqrt[4]{7}

is a mixed surd

$\sqrt[4]{P + 1}$ must be rational

So put $P + 1 = 16 \Rightarrow P = 15$

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