1. Is square root of negative 10 irrational or rational?
2. Is 2.79797979... irrational or rational?
I'm not very good at identifying irrational and rational numbers at least I tried too.
1. irrational
2. rational
yes, it is not only irrational but imaginary
yes, the second one is rational
You can always write a number with repeating decimals as a ratio of whole numbers
Thank you!
You are welcome.
To determine whether a number is rational or irrational, we need to understand the definitions of these terms.
1. A rational number is any number that can be expressed as a fraction or a ratio of two integers. For example, 5/3 is a rational number because it can be expressed as a fraction.
2. An irrational number is any number that cannot be expressed as a fraction or a ratio of two integers. These numbers usually have non-terminating and non-repeating decimal expansions. Some examples of irrational numbers are √2, π (pi), and e (Euler's number).
Now, let's apply these definitions to the given numbers:
1. The square root of negative 10 (√(-10)) is an imaginary number. Since this question specifically asks whether it is rational or irrational, we can say that it is neither. Rational and irrational numbers are defined for real numbers, not complex or imaginary numbers. So, the answer to the first question is not applicable.
2. The number 2.79797979... is considering the decimal expansion where 79 repeats indefinitely. In this case, we can express this number as a repeating decimal, which can be converted into a fraction. So, the number 2.79797979... is rational.
Therefore, the answers are:
1. Not applicable (since the number is imaginary)
2. Rational