Question

Prove that 2underroot is irrational

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Let us assume that√2 is a rational no. therefore it has 2 factors a and b which are co-primes.

:. √2=a/b

on squaring both sides

→2=a²/b²

→2b²=a²

hence 2b is a factor of a.

now, a=2c

:. 2c is also a factor of a.

hece, a has 2 factors, which is not possible as it is a prime no.

Hence our assumption is wrong.

:. √2 is an irrational number.

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