Example 10: Show that 5-3 is irrational. – InterviewSolution

1.

Example 10: Show that 5-3 is irrational.

Answer»

Let us assume that5-√3 is rational.

Let ,5 -√3 = r , where "r" is rational

5 - r =√3

Here,LHS is purely rational.But,on the other hand ,RHS is irrational.This leads to a contradiction.Hence,5-√3 is irrational

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