Math, asked by pdev5090, 7 months ago

prove that 3+√2 is irrational​

Answers

Answered by rekhabkale2210
2

Answer:

how can i prove I m not an advocate

Answered by jeonjk0
1

Answer:

Let 3+√2 is an rational number.. such that

3+√2 = a/b ,where a and b are integers and b is not equal to zero ..

therefore,

3 + √2 = a/b

√2 = a/b -3

√2 = (3b-a) /b

therefore, √2 = (3b - a)/b is rational as a, b and 3 are integers..

It means that √2 is rational....

But this contradicts the fact that √2 is irrational..

So, it concludes that 3+√2 is irrational..

hence proved..

Similar questions