To simplify \( \sqrt{40} \), we first factor the number under the square root:

\[
40 = 4 \times 10 = 2^2 \times 10
\]

Now, take the square root:

\[
\sqrt{40} = \sqrt{4 \times 10} = \sqrt{4} \times \sqrt{10} = 2\sqrt{10}
\]

So, the simplified form of \( \sqrt{40} \) is:

\[
\boxed{2\sqrt{10}}
\]

Would you like more details on this, or do you have any questions?

Here are 5 related questions you might want to explore:
1. What is the square root of 90 in its simplest radical form?
2. How do you simplify \( \sqrt{72} \)?
3. Can you explain how to factor a number under a square root?
4. How do you simplify cube roots, like \( \sqrt[3]{54} \)?
5. What are perfect squares, and how do they relate to simplifying square roots?

**Tip**: When simplifying square roots, look for the largest perfect square that is a factor of the number under the radical sign.

Learn how to simplify \( \sqrt{40} \) step-by-step by factoring the number and applying the properties of square roots. Discover related problems like simplifying other radicals and understanding perfect squares. Suitable for students in Grades 6-8.

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