Elaina, Miguel, and Swati are calculating the product of √6 and 2/3

.

Elaina says the answer is irrational because both numbers are irrational.

Miguel says the answer is rational because both numbers are rational.

Swati says the answer is irrational because one number is rational and the other number is irrational.

Who is correct? Enter the number that corresponds to the correct answer.

Elaina
Miguel
Swati

(1 point)
Person #
is correct.

1 answer

Swati is correct. The product of \( \sqrt{6} \) (an irrational number) and \( \frac{2}{3} \) (a rational number) is irrational. When you multiply a rational number by an irrational number, the result is always irrational.

So the answer is:

Swati (3)