Question

prove that 3+2√5 is irrational







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Answer 1

Step-by-step explanation:

let us assume to our contrary that 3+2√5 is rational

then it can be expressed as p/q where p and q are integers and q not equal to 0

3+2√5 = p/q

2√5 = p-3q/q

=> √5 = p-3q/2q --------(1)

here we know that √5 is irrational and p-3q/2q is rational

this is RHS not equal to LHS

This is due to our wrong assumption that 3+2√5 is rational

Hence it's is irrational

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Answer 2

Step-by-step explanation:

here is your answer: may it will help you