The square root of 19,600 is:

\[
\sqrt{19600} = 140
\]

So,

\[
\frac{1}{\sqrt{19600}} = \frac{1}{140} = 0.0071428571
\]

Thus, \( \frac{1}{\sqrt{19600}} \approx 0.00714 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the square root of other perfect squares close to 19,600?
2. How do you simplify expressions with square roots in the denominator?
3. What is the value of \( \frac{1}{\sqrt{144}} \)?
4. Can the expression \( \frac{1}{\sqrt{x}} \) be written in exponential form?
5. What are some real-world applications of square roots in calculations?

**Tip:** Simplifying square roots first helps make calculations easier, especially when dealing with fractions.

Learn how to solve 1 divided by the square root of 19,600 with a step-by-step explanation. This problem uses key concepts of square roots and fractions, making it ideal for students in Grades 6-8. Find out how to simplify and solve the expression to get the final answer: approximately 0.00714.

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