Question

prove that 3 + √5 is an irrational number

Answer 1

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→ Let 3 + √5 = a/b [ A form of a rational number]

=> √5 = a/b - 3

=> √5 = a - 3b/b

Hence, in LHS we have an irrational number and in RHS we obtained a rational number .

Hence, our assumption is wrong.

→ 3 + √5 is an irrational number.

Proved!!

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