Answer the following questions about rational and irrational numbers
MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
Answer the following questions about rational and irrational numbers. Provide complete proofs or justifications.
(i) Prove that if x is an irrational number, then x+5 is irrational.
(ii) Prove that if x is an irrational number, then 2x is irrational.
(iii) Using your results from parts (i) and (ii), determine whether 32−4 is rational or irrational, and justify your conclusion.