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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