Question

Show by example that sum difference, product and quotient of two irrational number need to be an irrational number

Answer 1

Answer :-

Proof :-

Example for:-

sum :-

(2+√3) +(2- √3)

4( which is a rational number)

difference :-

9√3-(6-9√3)

6 ( which is a rational number)

product :-

(2+√3)(2-√3)

4-3

1. ( which is a rational number)

quotient :-

6√2 /√2

6 ( which is a rational number)

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Answer 2

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