Question

prove that 5-2√2 is an irrational number​

Answer 1

1st prove root 3 as irrational then with the help of it prove 5-2root3 as irrational..

Hope it will help you..

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Answer 2

Full explanation:

Let 5-2√2 be a rational number.

5-2√2= a/b

2√2 = 5+a/b

2√2=5b + a /b

5b + a/b is rational

But 2√2 is irrational

So , our supposition was wrong

5-2√2 is an irrational number