Question

Prove That 3+2√5 is irrational using fundamental theorem of arithmetic​

Answer 1

Hello ,

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Let , 3 + 2√5 is rational number

=> 3 + 2√5 = a / b

=> 2√5 = a / b - 3

=>√5 = a / 2b - 3

integer = fraction

So, our assumptions is wrong that's why 3 + 2√5 is irrational number

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