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What the square root of 2?

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Anonymous

12y ago
Updated: 8/20/2019

Approximate: 1.414213562

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Real answer: 2 because 2 is not a perfect square and cannot be factored down anymore ( such as 3squarerootsof5)

It is true that 2 is not a perfect square, but that does not mean that the square root of 2 is 2. Think for a moment; if 22 = 2, then 24 = 2 as well ! We all know that 2 x 2 = 4, and therefore the square root of 4 is two. How can root 2 and root 4 be the same number ?

The solid but simple conclusion from 2 not being a perfect square is that root 2 is irrational. We can approximate the root to as many places of decimals as we like, but never end up with a perfect answer.

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Wiki User

13y ago

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