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The given expression is \( \sqrt{\frac{49}{100}} \).

We can simplify this by taking the square root of both the numerator and the denominator separately:

\[
\sqrt{\frac{49}{100}} = \frac{\sqrt{49}}{\sqrt{100}} = \frac{7}{10}
\]

So, the simplified form of \( \sqrt{\frac{49}{100}} \) is \( \frac{7}{10} \).

Would you like further details or have any questions?

Here are five related questions you might explore:
1. How do you simplify square roots of other fractions, like \( \sqrt{\frac{25}{64}} \)?
2. What happens when you simplify a square root with a negative value?
3. Can square roots always be simplified to rational numbers?
4. How do you handle square roots in equations involving variables, such as \( \sqrt{\frac{x^2}{y^2}} \)?
5. How do you rationalize denominators involving square roots?

**Tip:** Always simplify square roots by looking for perfect squares in the numerator and denominator.

Learn how to simplify the square root of a fraction, \( \sqrt{\frac{49}{100}} \), with a step-by-step breakdown. This solution demonstrates how to take the square root of both the numerator and denominator separately, resulting in \( \frac{7}{10} \). Suitable for students in Grades 7-8.

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