The square root of \(250\) can be simplified as follows:

First, factorize 250:
\[
250 = 2 \times 5^3
\]

Now, apply the square root:
\[
\sqrt{250} = \sqrt{2 \times 5^3} = \sqrt{2 \times 25 \times 5} = \sqrt{25 \times 10} = 5\sqrt{10}
\]

Thus, the simplified form of \( \sqrt{250} \) is:
\[
\sqrt{250} = 5\sqrt{10}
\]

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How do you simplify \( \sqrt{72} \)?
2. What is the square root of a product of prime numbers?
3. How do you express \( \sqrt{500} \) in its simplest form?
4. What is the square root of 10, and can it be simplified further?
5. How do you calculate \( \sqrt{2} \times \sqrt{10} \)?

**Tip:** Remember, to simplify a square root, factor the number and look for perfect squares.

Learn how to simplify the square root of 250 to 5 times the square root of 10 with detailed step-by-step instructions. This problem covers key concepts in square roots and factorization. Suitable for Grades 9-12 students.

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