Question

prove that -2√8 is irrational​

Answer 1

Let, 8 +√2 be a rational number.

We know that 8 is a rational number.

Also,

Rational - Rational = Rational

=> 8 + √2 - 8 = Rational

=> √2 = Rational

But, √2 is a rational number.

So, it contradicts our supposition.

Hence 8 +√2 is an irrational number.

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Answer 2

You can see the answer in adjoining pic.

Hope it helps...