Question

prove:-
2+ 3 Root 2 irrational ..........???????

help?

Answer 1

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Answer 2

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 a rational...

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

So, it conclude that 3+√2 is a irrational...

hence proved...

Step-by-step explanation:

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