Question

9
42. Is the product of a rational and an irrational number always irrational?
Give an example
43. Give an example of a number x such that r2 is an irrational​

Answer 1

$\huge \colorbox{cyan}{answer}$

➡️take rational no.= 0

➡️ irrational no. = 3

$= 0 \times \sqrt{3} = 0$

➡️so, product of a rational and irrational number always rational when rational no. is 0.

$now \: 5 \times \sqrt{2} = 5 \sqrt{2}$

➡️so,product of a rational and irrational number always irrational if rational no. is non-zero.

2》

${ - 1}^{2} \times \frac{1}{3}$

Is example of a number x such that r2 is an irrational.