prove that √3+√5 is irrational
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prove that √3+√5 is irrational
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To prove : 3+5 is irrational.
Let us assume it to be a rational number.
Rational numbers are the ones that can be expressed in qp form where p,q are integers and q isn't equal to zero.
3+5=qp
3=qp−5
squaring on both sides,
3=q2p2−2.5(qp)+5
⇒q(25p)=5−3+(q2p2)