Prove that 7 - √5 is an irrational number.

1.	Prove that 7 - √5 is an irrational number.
Answer» This is so easy yar Let if possible it is assumed that 7-√5 is rational no. 7- √5 = p/q. where p nd q are integers and q. qis not equal to 0 √5 = p/q - 7 Since p and q are integers so, p/q - 7 is rational and so √5 is rationalBut this contradicts the fact that √5 is irrational This is bcoz of our wrong assumptionSo we conclude that 7 - √5 is irrational

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