The square root of 490 can be simplified as follows:

\[
\sqrt{490} = \sqrt{49 \times 10} = \sqrt{49} \times \sqrt{10} = 7\sqrt{10}
\]

The exact simplified form is \( 7\sqrt{10} \), and the approximate decimal value is:

\[
\sqrt{490} \approx 22.1359436
\]

Would you like a more detailed explanation or any further clarification?

Here are five related questions to explore:
1. What is the square root of a non-perfect square?
2. How do you simplify square roots?
3. What is the square root of 50 in simplified form?
4. How do you rationalize the denominator of expressions with square roots?
5. How do you estimate square roots without a calculator?

**Tip**: When simplifying square roots, try to factor out perfect squares to simplify the expression further.

Discover how to simplify the square root of 490. This problem involves the product rule of square roots and explains how to simplify non-perfect squares. The final simplified form is 7√10 with an approximate decimal value of 22.1359436. Suitable for students in Grades 8-10.

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