state root6+root2 is irrational

Asked by vskksv | 10th Mar, 2008, 06:56: PM

Expert Answer:

let √6+√2 be rational

this implies (√6+√2)^2 is rational.

this implies 6+2+2√12= 8+2√12 is rational.

but √12 is irrational.

this implies 2√12 is irrational. so, 8+2√12 is irrational.

so our assumption was wrong.

hence √6+√2 is irrational.

Answered by  | 12th Mar, 2008, 01:23: PM

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