Question

Examine whether root 2 is a irrational numbers. Fast fast fast .and step by step. 10 th one.

Answer 1

Hey mate!!!!

Let√2 is rational

So,

√2=a/b,a and b are integers, b not equal to 0, and b are co prime

√2b=a

Squaring on both sides

2b^2=a^2

b^2=a^2/2

If 2 divides a^2 then 2 also divides a

Put a^2=4c^2

b^2=4c^2/2

b^2=2c^2

b^2\2=c^2

If 2 divides b^2 then 2 also divides b

Hence , 2 is common factor of a and b

But a and b are co prime

So, √2 is not rational

It is irrational

Answer 2

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please see the attachment I have kept u two methods....

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