Question

write one rational and one ir rational such that their product is a rational number
​

Answer 1

Answer:

-1 and 1 are numbers

Step-by-step explanation:

mark brainlist

Answer 2

Answer:

Actually, there doesn't exist an example of Rational and Irrational Numbers whose product is Rational, except when an Irrational Number is multiplied by 0, which results in 0, a Rational Number.

EXPLAINED …

Let's try to do this by defining both Rational and Irrational Numbers.

Rational Numbers are numbers which can be written in the form of a/b, where both a and b are rational.

Irrational Numbers, however, can't be written in the form of a/b.

So, what does that mean?

It means that Rational Numbers, when written in decimal form, terminates, or have a repeating series of numbers.

For example, these are rational numbers,

1/2 = 0.5 and

4/7 = 0.571428571428(and it goes on and on).

Whereas Irrational Numbers, when written in decimal form, doesn't have a terminating or repeating form.

For example, these are Irrational Numbers

√3 = 1.7320508076….(keeps on going and never repeats itself).

So, if you multiply a Rational and an Irrational Number, e.g. √3 * {1/2} = (√3)/2 = 0.8660254…(keeps on going again), it produces an Irrational Number.

So, there's no way you can multiply a Rational and an Irrational Number and get the output as a Rational Number.