Math, asked by Anonymous, 9 months ago

♻️Show That 3 root2 is Rational.✌​

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Answered by Anonymous
2

Answer:

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Show That 3 root2 is *irrational

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Let us assume, to the contrary, that 3 √2 is

rational. Then, there exist co-prime positive integers a and b such that

3 \sqrt{2}  =  \frac{a}{b}

⇒ \sqrt{2}  =  \frac{a}{3b}

⇒ √2 is rational ...[∵3,a and b are integers∴ a/3b is a rational number]

This contradicts the fact that √2 is irrational.

So, our assumption is not correct.

Hence, 3 √2 is an irrational number.

ooe.... sun I think irrational

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