prove that √2+√3 is an iirational number
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Step-by-step explanation:
let us assume that √2+√3 is a rational number
√2+√3=a\b
√2=a\b-√3
sq. o. b. s
2=(a/b-√3) 2
(a-b) 2=a2+b2-2ab
2=a2/b2+3-2.a/b.√3
2.a/b√3=a2/b2+3-2
√3=a2+b2/b2.b/2a
√3=a2+b2/2ab
a2+b2/2ab is rational so,L.H.S √3 is also rational
L. H. S=R.H.S
but this not possible
so our assumption is wrong so we conclude that
√2+√3 is a irrational naumber
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