https://file.aiquickdraw.com/mathbot/file/172786828288554thb2cp.jpg

The problem in the image asks for the simplified forms of \(\sqrt{20}\) and \(\sqrt{300}\) in sequence.

### Let's simplify each square root step by step:

1. **\(\sqrt{20}\)**:
   \[
   \sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2\sqrt{5}
   \]

2. **\(\sqrt{300}\)**:
   \[
   \sqrt{300} = \sqrt{100 \times 3} = \sqrt{100} \times \sqrt{3} = 10\sqrt{3}
   \]

Thus, the simplified forms of \(\sqrt{20}\) and \(\sqrt{300}\) are \(2\sqrt{5}\) and \(10\sqrt{3}\), respectively.

### Therefore, the correct answer is:
**C: \(2\sqrt{5}; 10\sqrt{3}\)**.

Would you like more details or have any questions? Here are five related questions:

1. How do you simplify other square roots like \(\sqrt{50}\)?
2. How can you factor numbers to make square roots easier to simplify?
3. What is the general process for simplifying a radical expression?
4. Can you explain the connection between prime factorization and simplifying radicals?
5. How do you handle square roots when they're multiplied or divided?

**Tip**: Always look for perfect squares within a number to simplify square roots efficiently.

Bentuk sederhana dari √20 dan √300 berturut-turut adalah . . .

Learn how to simplify the square roots √20 and √300 with detailed step-by-step instructions. This problem covers essential concepts in simplifying radical expressions, using formulas like √a × b = √a × √b. Suitable for Grades 8-10.

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