Question

Даны числа: 2,89; -√18; √36; 0,24681012...; Определите, какие из них иррациональные

Answer 1

-√18 не является рациональным,поскольку его нельзя представить в виде дроби
и 0.24810... не является рациональным.
2,89=$\frac{289}{100}$
√36=6=$\frac{6}{1}$

Answer 2

Irrational Numbers

To determine which of the given numbers are irrational, let's first understand what irrational numbers are. Irrational numbers are real numbers that cannot be expressed as a fraction of two integers and have an infinite number of non-repeating decimal places.

Now, let's analyze each of the given numbers:

1. 2.89: This number is a rational number because it can be expressed as the fraction 289/100.

2. -√18: The square root of 18 is approximately 4.2426. Since this number cannot be expressed as a fraction of two integers and has an infinite number of non-repeating decimal places, it is an irrational number.

3. √36: The square root of 36 is 6. This number can be expressed as the fraction 6/1, so it is a rational number.

4. 0.24681012...: This number is a rational number because it can be expressed as the fraction 12345/50000.

Based on the analysis, the only irrational number among the given numbers is -√18.

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