Q. 5 F

# Prove that following numbers are irrational :√7 – √5

Answer :

Let us assume - is rational

Let, - =

Squaring both sides, we get

2 =

12 - 2 =

2 = – 12

2 =

=

Since, rational ≠ irrational

This is a contradiction.

, Our assumption is incorrect.

Hence, is irrational.

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