Prove that 1 upon √5-√2 is an irrational number.

1.	Prove that 1 upon √5-√2 is an irrational number.
Answer» Let 1/2-√5 is a rational number.A rational number can be written in the form of p/q where p,q are integers.1/2-√5=p/q1/2-p/q=√5√5=(q-2p)/2qIf p,q are integers then (q-2p)/2q is a rational number.Then,√5 is also a rational number.But this contradicts the fact that √5 is an irrational number.So,our supposition is false.Therefore,1/2-√5 is an irrational numberHence proved.

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