Question

Show by examples that the sum, difference, product and quotient of two irrational numbers
need not be an irrational number.
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Answer 1

Step-by-step explanation:

1. Sum

let's Add √3 and (-√3)

=> √3 + (-√3) = 0 which is not an irrational number.

2. Difference

let's Subtract √5 from √5

=> √5-√5 = 0 which is not an irrational number.

3. Product

let's multiply √5 by √5

=> √5*√5 = √5*5 ( √a * √b = √a*b) = √25 = 5 which is not an irrational number.

4. Division/Quotient

let's divide √8 by √2

=> √8/√2 = √8/2 ( √a /√b = √a/b) = √4 = 2 which is not an irrational number

Hopefully you are satisfied with my answer, please mark me as the brainliest.