Math, asked by hindubhai2003, 5 months ago

so that 2✓2 is irrational no.​

Answers

Answered by kajalpadharia2
0

Answer:

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Answered by rinusharma076
0

Step-by-step explanation:

If possible,let 2√2 be rational.

Then,there exist co-primes a and b(b is not equal to 0)such that 2√2=a/b.

Now,2√2=a/b

or,√2=a/2b ----(i)

Now,a/b is rational

or,a/2b is rational

or,√2 is rational {from((i)}

But,it is given that √2 is irrational.

Thus,the contradiction arises by assuming that 2√2 is rational,

hence 2√2 is irrational.

PROVED

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