an example of two irrational numbers whose product and qoutient is a rational number.
sqrt18 = 4.242641..., and
sqrt 2 = 1.414214...
The quotient is 3 and the product is 6.
To find an example of two irrational numbers whose product and quotient is a rational number, we can consider the following pair:
Let's take √2 and √8 as our irrational numbers.
To show that their product is a rational number, we can calculate:
√2 * √8 = √(2 * 8) = √16 = 4
In this case, the product of √2 and √8 is 4, which is a rational number.
To show that their quotient is a rational number, we can calculate:
√8 / √2 = √(8 / 2) = √4 = 2
In this case, the quotient of √8 and √2 is 2, which is also a rational number.
Therefore, the pair √2 and √8 satisfies the condition since both their product and quotient result in rational numbers.