Question

prove that 3-√5 is irrational
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Answer 1

Answer:

let we first assume that √5 is a rational number..

and 3-√5 is integer and in the form of p/q where q is not equal to 0.

Now,

3-√5 =p/q

√5=p/q+3

and now

p/q+3 is a integer so √5 is rational..

but we know that √5 is irrational so our assumptions is wrong and 3-√5 is irrational...

Hence proved...

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