Question
Which of the following are irrational numbers A 199.63 B √4 C π D √369
Answers
Answered by
GPT-4o mini
To identify which of the given numbers are irrational, let's analyze each option:
A. **199.63** - This is a decimal representation of a rational number because it can be expressed as the fraction \( \frac{19963}{100} \).
B. **√4** - This evaluates to 2, which is also a rational number since it can be expressed as \( \frac{2}{1} \).
C. **π** - This is a well-known irrational number. It cannot be expressed as a fraction of two integers.
D. **√369** - The square root of 369 is not a perfect square, and it cannot be expressed as a fraction of two integers, making it irrational.
From the options provided, the irrational numbers are:
**C. π** and **D. √369**.
A. **199.63** - This is a decimal representation of a rational number because it can be expressed as the fraction \( \frac{19963}{100} \).
B. **√4** - This evaluates to 2, which is also a rational number since it can be expressed as \( \frac{2}{1} \).
C. **π** - This is a well-known irrational number. It cannot be expressed as a fraction of two integers.
D. **√369** - The square root of 369 is not a perfect square, and it cannot be expressed as a fraction of two integers, making it irrational.
From the options provided, the irrational numbers are:
**C. π** and **D. √369**.
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