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To simplify the expression \(\sqrt{245}\), let's start by finding the prime factorization of 245.

1. **Prime Factorization of 245:**
   \[
   245 = 5 \times 49 = 5 \times 7^2
   \]

2. **Rewrite the square root using the factors:**
   \[
   \sqrt{245} = \sqrt{5 \times 7^2}
   \]

3. **Separate the perfect square:**
   Since \(7^2\) is a perfect square, we can simplify this as:
   \[
   \sqrt{245} = \sqrt{5} \times \sqrt{7^2} = \sqrt{5} \times 7 = 7\sqrt{5}
   \]

So, the simplest radical form of \(\sqrt{245}\) is:
\[
7\sqrt{5}
\]

Would you like more details on the simplification steps, or do you have any other questions?

### Related Questions
1. How would you simplify \(\sqrt{180}\) in simplest radical form?
2. What is the simplest radical form of \(\sqrt{300}\)?
3. How do you handle square roots of numbers that aren’t perfect squares?
4. How can you simplify \(\sqrt{50} + \sqrt{98}\)?
5. How does prime factorization help in simplifying square roots?

### Tip
When simplifying square roots, always look for the largest perfect square factor to simplify the expression quickly.

Write the expression in simplest radical form: \(\sqrt{245}\)

Learn how to simplify \(\sqrt{245}\) to its simplest radical form using prime factorization. This solution covers concepts in simplifying radicals, suitable for students in Grades 7-9.

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