The square root of 50 can be simplified as follows:

\[
\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2}
\]

So, \(\sqrt{50} = 5\sqrt{2} \approx 7.071\).

Would you like more details on how I simplified this, or do you have any other questions?

Here are 5 related questions to explore:
1. What is the square root of 75 in simplified form?
2. How do you simplify square roots of non-perfect squares?
3. What is the square of \(\sqrt{50}\)?
4. Can you find the cube root of 50?
5. What are some common methods to approximate square roots?

**Tip:** Breaking down a number into its prime factors can help simplify square roots easily.

Learn how to simplify the square root of 50. Using the prime factorization method, we break down the square root of 50 into 5√2, approximately equal to 7.071. This problem introduces concepts like simplifying square roots and radicals, ideal for students in Grades 6-8.

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