Irrational number
Posted: Tue Nov 10, 2015 4:02 pm
Let $N \in \mathbb{N} \mid N>1$. Prove that the number:
$$\mathcal{N}= \sqrt{1\cdot 2 \cdot 3 \cdot 4 \cdots (N-1)\cdot N}$$
is irrational.
$$\mathcal{N}= \sqrt{1\cdot 2 \cdot 3 \cdot 4 \cdots (N-1)\cdot N}$$
is irrational.
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