given that root 2 is irrational prove that 5 + 3 root 2 is an irrational number
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Step-by-step explanation:
let 5+3√2 is rational number
therefore 5 is rational and 3√2 is rational
5+3√2=a/b
3√2=a/b-5
√2= a-5b/3b
so √2 is rational but the contradiction to assuming √2is rational is incorrect Hence 5+3√2 is irrational
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