Question
What are the square roots of \( \frac{25}{100} \) ? Write your answers as proper fractions, improper fractions, or whole numbers. Submit
Ask by Erickson Goodwin. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The square roots of \( \frac{25}{100} \) are \( \frac{1}{2} \) and \( -\frac{1}{2} \).
Solution
The square roots of \( \frac{25}{100} \) are \( \frac{1}{2} \) and \( -\frac{1}{2} \).
**Answer:** \( \frac{1}{2} \) and \( -\frac{1}{2} \)
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The Deep Dive
The square roots of \( \frac{25}{100} \) can be calculated by taking the square root of both the numerator and the denominator separately. The square root of 25 is 5, and the square root of 100 is 10. Therefore, the square roots of \( \frac{25}{100} \) are \( \frac{5}{10} \), which can be simplified to \( \frac{1}{2} \), and its negative counterpart, \( -\frac{1}{2} \). In summary, the square roots of \( \frac{25}{100} \) are \( \frac{1}{2} \) and \( -\frac{1}{2} \).