Math, asked by nagpavana, 10 months ago

prove that √2+√3 is an iirational number​

Answers

Answered by prafullasenapathi
2

Answer:

Step-by-step explanation:hey dear see the attachment if you get this let me know by Marking brain list

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Answered by tejaswini0340
0

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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