Answer the following questions

MATHEMATICS · Multi-part · CBSE · Mathematics · Real Numbers · Real Numbers

Problem

Answer the following questions. Give full reasons for each statement you make. (i) Prove that 5\sqrt{5} is an irrational number. (ii) Using the result of part (i), or otherwise, prove that 353\sqrt{5} is irrational. (iii) Prove that 2+52+\sqrt{5} is irrational.

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