Let's break down the statements and reasoning of Elaina, Miguel, and Swati regarding the product of \( \sqrt{6} \) (which is irrational) and 23 (which is rational).
-
Elaina's Statement: She says the answer is irrational because both numbers are irrational. This is incorrect because only one of the numbers (specifically \( \sqrt{6} \)) is irrational, while 23 is rational.
-
Miguel's Statement: He claims the answer is rational because both numbers are rational. This is incorrect as well since \( \sqrt{6} \) is irrational, and Miguel is mistaken that both numbers are rational.
-
Swati's Statement: She states that the answer is irrational because one number is rational and the other is irrational. This is correct. The product of any rational number (like 23) and an irrational number (like \( \sqrt{6} \)) is always irrational.
Therefore, the correct answer is:
Swati is correct.
So, you would enter the number that corresponds to Swati, which is:
3 (assuming Elaina is 1, Miguel is 2, and Swati is 3)