Question

sums & products of rational & irrational numbers practice
complete this assessment to review what youve learned. it will not count toward your grade.
machir, sofia, and lexi are discussing the result of the sum of \\(\sqrt{8} + \frac{3}{2}\\).
machir says the answer is irrational because both numbers are irrational.
sofia says the answer is rational because both numbers are rational.
lexi says the result is irrational because one number is irrational and the other is rational.
who is correct?

1. machir
2. sofia
3. lexi

(1 point)
person #\\(\square\\) is correct.

Explanation:

Step1: Classify $\sqrt{8}$

$\sqrt{8} = 2\sqrt{2}$, and $\sqrt{2}$ is irrational, so $\sqrt{8}$ is irrational.

Step2: Classify $\frac{3}{2}$

$\frac{3}{2}$ is a ratio of integers, so it is rational.

Step3: Apply sum rule

The sum of a rational number and an irrational number is always irrational.

Step4: Match to correct person

Lexi's reasoning matches this rule.

Answer:

1. Lexi

Person #3 is correct.