Show that 7 V5 is irrational, give that v5 is irrational. – InterviewSolution

1.

Show that 7 V5 is irrational, give that v5 is irrational.

Answer»

We know √5 is irrational so

Let 7 - √5 be rational

So, 7 - √5 = r, where r is rational

7 - r = √5

This is absurd as LHS is rational and RHS is irrational so a a contradiction to our assumption.Hence 7 - √5 is irrational

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