https://file.aiquickdraw.com/mathbot/file/1727745517824wr47n5xm.jpg

The problem shown in the image is to simplify the square root of 50, \( \sqrt{50} \).

Here's the solution:

1. Break down 50 into its prime factors:  
   \( 50 = 2 \times 25 = 2 \times 5^2 \).

2. Apply the square root:  
   \( \sqrt{50} = \sqrt{2 \times 5^2} \).

3. Simplify:  
   \( \sqrt{50} = 5\sqrt{2} \).

Thus, the simplified form of \( \sqrt{50} \) is \( 5\sqrt{2} \).

Would you like more details on the simplification? Here are five related questions:

1. How do you simplify square roots of other numbers?
2. What is the general method for simplifying square roots?
3. Can the square root of 50 be simplified further?
4. How do you approximate \( \sqrt{2} \) as a decimal?
5. What are other common square root simplifications?

**Tip:** Always check for perfect square factors when simplifying square roots!

Learn how to simplify the square root of 50 (√50) step-by-step by using prime factorization. This detailed guide covers mathematical concepts like simplification of square roots and the formula for breaking down square roots. Suitable for Grades 7-9 students.

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