Among the given options, √0.036 is an irrational number, making option A the right choice.
A rational number is any number, that can be represented in the form of p/q, where p and q are integers, q ≠ 0, and p and q are co-prime numbers.
Any number which cannot be represented in the discussed way is irrational.
In the question, we are asked to identify the number which is irrational among the given options.
The options are as follows:
- A. √0.036: This is an irrational number as it cannot be written in the form of a rational number.
- B. [tex]7.\overline{25}[/tex] = 7.252525252525252525252525 can be written as 718/99, which is of rational form.
- C. √1 = ±1, which can be written as 1/1 or -1/1, which are both rational forms.
- D. 10. This can be written as 10/1, which is rational form.
Thus, among the given options, √0.036 is an irrational number, making option A the right choice.
Learn more about irrational numbers at
https://brainly.com/question/20400557
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