Question

is it correct
the que was to prove that the no. is irrational.​

Answer 1

Answer:

yep is correct one mate

hope your boards exam will go well

Answer 2

no

To contradict 12+6√3, you should start with √3 contradiction.

If you found √3 is irrational, then you use another contradiction.

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Given: √3 is irrational.

To prove 12+6√3 is rational,

let (rational)+(irrational)=(rational).

But it means (rational)-(rational)=(irrational), which contradicts our assumption.

Therefore 12+6√3 is not rational.