How many real fifth roots does 
–0.00243 have?

To determine how many real fifth roots \(-0.00243\) has, we need to analyze the nature of the roots of the given number.

The fifth root of a number \( x \) can be written as \( \sqrt[5]{x} \).

1. **Positive and Negative Roots:**
   - For any real number \( x \), if \( x \) is positive, it has one real positive fifth root.
   - If \( x \) is negative, it has one real negative fifth root.

Given the number \( -0.00243 \):
- Since \( -0.00243 \) is a negative number, it will have one real negative fifth root.

Therefore, \(-0.00243\) has exactly one real fifth root.

Would you like any further details or have any other questions?

Here are some other questions you might be interested in:
1. How do you find the fifth root of a positive number?
2. What are the properties of roots of negative numbers?
3. How do complex roots differ from real roots?
4. Can you explain how to calculate the fifth root of a number using a calculator?
5. What are some applications of finding roots in real life?

**Tip:** When dealing with roots of negative numbers, remember that odd roots (like cube roots, fifth roots, etc.) of negative numbers are also negative, while even roots (like square roots, fourth roots, etc.) of negative numbers are not real numbers.

Explore how to determine the number of real fifth roots of -0.00243 with detailed explanations and examples. Learn about the properties of roots of negative numbers and their application in mathematics. Suitable for high school students and anyone interested in algebraic roots.

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