Question

prove that √2+√3 is irrational
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Answer 1

Answer:

The proving of irrationality of √2+√3 is given class 10 maths ncert unit1 (Real numbers)

Answer 2

Answer:

let assume that(√2+√3)

√2+√3=a/b

=√3=a/b-√2

(√3) ²=(a/b-√2) ²

3=a²/b²-2a/b√2+2

2a/b√2=a²/b²-1

=√2=a²-b²/2ab

since a and b are integers, so a²-b²/2ab is rational.

thus, √2 is also rational.

but this contradict the fact that √2 is rational

so our assumptions is incorrect.

hence√2+√3 is irrational