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The number is irrational. Which statement about is true?Choices:(A) is rational.(B) is irrational.(C) can be rational or irrational, depending on the value of .
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Q. The number is irrational. Which statement about is true?Choices:(A) is rational.(B) is irrational.(C) can be rational or irrational, depending on the value of .
- Identify Number : Identify the nature of the number . is a rational number because it can be expressed as a fraction ().
- Consider Number : Consider the nature of the number . is given as an irrational number, which means it cannot be expressed as a fraction of two integers.
- Analyze Operation : Analyze the operation .Subtracting an irrational number () from a rational number () will result in an irrational number. This is because the difference between a rational and an irrational number is always irrational.
- Check for Exceptions: Check for exceptions.There are no exceptions in this case. Unlike the addition or subtraction of two irrational numbers, which can sometimes result in a rational number, the subtraction of an irrational number from a rational number will always yield an irrational number.
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