The square root of 200 can be simplified as follows:

\[
\sqrt{200} = \sqrt{100 \times 2} = \sqrt{100} \times \sqrt{2} = 10\sqrt{2}
\]

Thus, \(\sqrt{200} = 10\sqrt{2} \approx 14.14\).

Would you like more details or have any questions?

Here are some related questions for further practice:
1. Simplify \(\sqrt{500}\).
2. What is the square root of 72 in simplified form?
3. Calculate \(\sqrt{32}\).
4. Find the approximate value of \(\sqrt{150}\).
5. Solve \(\sqrt{288}\) in its simplest radical form.

**Tip:** When simplifying square roots, look for perfect square factors to simplify the expression.

Learn how to simplify the square root of 200 into 10√2 with a step-by-step explanation. This solution covers the simplification of radicals and square roots, suitable for students in Grades 6-8. The approximate value of √200 is also provided as 14.14.

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