Question

3+2root7is irrational number

Answer 1

⚡ANSWER⚡

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Let if possible 3+2√7 is not irrational,i.e., rational.

Then, my definition of rational number that two coprime integer p and q such that,

3+2√7 = p/q

=> 2√7 = p/q - 3

=> √7 = p - 3q/ 2q

=> √7 is a rational number, which is a contradiction because √7 is an irrational number.

Therefore our assumption is wrong.

Hence,the given number 3+2√7 is an irrational number.

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