Asked by Optional
Which of the following is an irrational number: 25−−√
, π
, or 0/27
?
, π
, or 0/27
?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which of the given numbers is irrational, let's analyze each one:
1. \( \sqrt{25} \): The square root of 25 is 5, which is a rational number (it can be expressed as \( \frac{5}{1} \)).
2. \( \pi \): The number \( \pi \) (pi) is known to be an irrational number, meaning it cannot be expressed as a fraction of two integers.
3. \( \frac{0}{27} \): This fraction simplifies to 0, which is also a rational number (it can be expressed as \( \frac{0}{1} \)).
Thus, the only irrational number among the options is \( \pi \).
1. \( \sqrt{25} \): The square root of 25 is 5, which is a rational number (it can be expressed as \( \frac{5}{1} \)).
2. \( \pi \): The number \( \pi \) (pi) is known to be an irrational number, meaning it cannot be expressed as a fraction of two integers.
3. \( \frac{0}{27} \): This fraction simplifies to 0, which is also a rational number (it can be expressed as \( \frac{0}{1} \)).
Thus, the only irrational number among the options is \( \pi \).
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