Question

sums & products of rational & irrational numbers practice
complete this assessment to review what youve learned. it will not count toward your grade.
elaina, miguel, and swati are calculating the product of \\(\sqrt{6}\\) and \\(\frac{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.

1. elaina
2. miguel
3. swati

(1 point)
person #\\(\square\\) is correct.
check answer remaining attempts : 3

Explanation:

Step1: Classify the numbers

$\sqrt{6}$ is irrational; $\frac{2}{3}$ is rational.

Step2: Evaluate each person's claim

Elaina: Incorrect, $\frac{2}{3}$ is rational. Miguel: Incorrect, $\sqrt{6}$ is irrational. Swati: Correct, product of non-zero rational and irrational is irrational.

Step3: Identify the correct person

Swati (Person #3) is correct.

Answer:

1. Swati