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Proov root 2 is not rational

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Proov root 2 is not rational

Posted by Vashu Kasana 3 years, 4 months ago

CBSE > Class 09 > Mathematics

2 answers

Divyansh Jain 3 years, 4 months ago

Rational numbers are those numbers which can be expressed in the form p/q where p and q are integers and q is not equal to 0 whereas irrational numbers cannot be expressed in the form p/q where p and q are integers and q is bot equal to 0. Root 2 = 1.4142............... and so on and it is non- terminating and non - recurring which is a property of irrational numbers. Its value is infinite that is never ending and also cannot be written in the form p/q. This proves that root 2 is not a rational number. It is an irrational number.

Vaishnavi N 3 years, 4 months ago

We know that, A rational number can be written in p/q form wre as, an Irrational number cannot be written in p/q form. √2 = 0.41421356 and so on... (Non terminating, Non recurring ) Value of √2 never ends So we cannot write it in p/q form.. Hence, √2 is not a rational number. It is an irrational number.

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