state root6+root2 is irrational
Asked by vskksv | 10th Mar, 2008, 06:56: PM
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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