Question

64. Determine whether the statement is true or false: The product of a rational and irrational number is

always irrational

Answer 1

False

Explanation:

The product of two irrational number 2 is irrational. False. Counterexample: (√2) ∙ (−√2) = 2. (c) The sum of a rational number and an irrational number is irrational.

Answer 2

Answer: TRUE

Explanation:

you can't never change an irrational number into rational number

2 × √3 = 2√3 ⇔ still an irrational number