Question

Prove that root 12 is irrational

Answer 1

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Prove that \sqrt{12} is irrational

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$\sqrt{12} \\ \\ \sqrt{4 \times 3} \\ \\ \sqrt{2 \times 2 \times 3} \\ \\ \sqrt{ {2}^{2} \times 3 } \\ \\ \sqrt{2 {}^{2} } \: \sqrt{3} \\ \\ 2 \sqrt{3}$

Answer 2

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Yes, absolutely...

There is no rational number whose square equals 12.

The principal square root of 12 is 2√3 which is approximately 3.46 .

Yes the square root of 12 is irrational .