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The question in the image asks whether \(\sqrt{2}\) is a rational number because it can be expressed as \(\frac{\sqrt{2}}{1}\), with Mark arguing that this makes it rational. The multiple-choice answers evaluate whether this reasoning is correct or incorrect.

### Answer Explanation:
A **rational number** is any number that can be expressed as the quotient of two integers, where the numerator and denominator are both integers (and the denominator is not zero). A number like \(\sqrt{2}\) is **irrational** because it cannot be expressed as the ratio of two integers. Even though \(\frac{\sqrt{2}}{1}\) looks like a fraction, \(\sqrt{2}\) itself is not an integer, so this expression does not meet the requirement for a rational number.

### Correct Answer:
- The correct answer is: **"Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers."**

Would you like further details on irrational numbers or have any questions?

Here are 5 related questions to expand on the topic:
1. What is the difference between rational and irrational numbers?
2. How can you prove that \(\sqrt{2}\) is irrational?
3. Can all irrational numbers be represented as decimals?
4. What are some real-life applications of irrational numbers like \(\pi\) and \(\sqrt{2}\)?
5. How do you classify numbers on the number line between rational and irrational?

**Tip:** When dealing with rational numbers, always ensure both the numerator and denominator are integers.

Mark says that the number √2 is a rational number because he can write it as the fraction √2/1. Is Mark correct? Why or why not?

Explore why √2 is not a rational number despite being expressed as √2/1. Learn about the definition of rational numbers, fractions, and the difference between rational and irrational numbers. This problem is suitable for students in Grades 6-8.

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