https://file.aiquickdraw.com/mathbot/file/17243518065967ewf47wu.jpg

To identify the irrational numbers from the list provided, let's analyze each option:

1. **\( \frac{2}{3} \)**: This is a fraction of two integers, which makes it a rational number.

2. **\( \sqrt{20} \)**: The square root of 20 cannot be simplified to a whole number or a fraction. It is an irrational number because it results in a non-repeating, non-terminating decimal.

3. **\( 0.245653256312 \ldots \)**: This number appears to be a non-repeating, non-terminating decimal. Since it does not terminate or repeat, it is an irrational number.

4. **\( -4.9 \)**: This is a terminating decimal and can be expressed as \( \frac{-49}{10} \), so it is a rational number.

5. **\( 5.11111\ldots \)**: This number is a repeating decimal and can be expressed as a fraction, making it a rational number.

### Therefore, the irrational numbers in this list are:
- \( \sqrt{20} \)
- \( 0.245653256312 \ldots \)

Would you like more details on any of these points, or do you have any questions?

### Related Questions:
1. What is the definition of an irrational number?
2. How can you determine if a square root is irrational?
3. What makes a repeating decimal a rational number?
4. Can the sum of two irrational numbers be rational?
5. How can you express a repeating decimal as a fraction?

### Tip:
When identifying irrational numbers, look for non-repeating, non-terminating decimals or roots that cannot be simplified to a fraction.

Learn how to identify irrational numbers through examples and explanations. This page covers various types of numbers such as irrational, rational, terminating, and repeating decimals. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation