Question

show that 2√2 is an irrational number​

Answer 1

Answer:

Heya Friend,Here Is Your Solution------

Step-by-step explanation:

Since, we know that-

The product of a rational and a irrational number is always Irrational.

Therefore, 2√2 is an Irrational Number.

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Answer 2

Step-by-step explanation:

let us assume that 2√2 is rational

let 2√2= a/b (a and b are coprimes having common factor 1)

send 2 to rhs

√2= a/b-2

√2= a-2b/b

since a-2b /b is rational √2 is also rational

but this contradicts the fact that√2 is irrational.

hence this contradiction has arisen because of our wrong assumption that 2√2 is rational.

THEREFORE,2√2 IS irrational

hence proved.