Given that root3 is irrational prove that 2 + root3 is an irrational number

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Nejat · Answer 1 · 2024-07-13T15:01:50+0000

Answer:2+ud3 is irrational number

Step-by-step explanation:Given I’d 3 is irrational number

Let 2+ud3 is rational number

then 2+Ud3=q/p

ud3=qp−2/q
Since ud3 is irrational number but qp−2/q is rational

it mean irrational = rational which contradict,

∴ our assumption is wrong and2+ud3 is irrational number.