Question

Q.Prove that
$\sqrt{3}$
+5 is irrational.​

Answer 1

Answer:

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Step-by-step explanation:

Prove √3+√5 is irrational

Assume that √3+√5 is rational. Then there exist coprime integers p and q so that pq is rational and pq=√3+√5. Thus (√3+√5)2=2(4+√15)=p2q2, which implies that p2 is even, so p is also even. ... But this contradicts that p and q are coprime, and we arrive at a contradiction