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Proove that root5 is irrrational

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Proove that root5 is irrrational

Posted by Arti Verma 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Gaurav Seth 6 years, 11 months ago

Let us assume that √5 is a rational number.
we know that the rational numbers are in the form of p/q form where p,q are intezers.
so, √5 = p/q
p = √5q
We know that 'p' is a rational number. so √5 q must be rational since it equals to p
but it doesnt occurs with √5 since its not an intezer
Therefore, p = √5q
this contradicts the fact that √5 is an irrational number.
Hence our assumption is wrong and √5 is an irrational number.

1Thank You

Adhya Singh 6 years, 11 months ago

ye kesa answer h

1Thank You

Jitendra Ray 6 years, 11 months ago

1Thank You

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CBSE > Class 10 > Mathematics