The expression you provided is \( \sqrt{140} \), which represents the square root of 140. Let's simplify it as much as possible.

1. First, we can factor 140 into its prime factors:
   \[
   140 = 2^2 \times 5 \times 7
   \]

2. Now, apply the square root:
   \[
   \sqrt{140} = \sqrt{2^2 \times 5 \times 7} = 2\sqrt{35}
   \]

Thus, the simplified form of \( \sqrt{140} \) is \( 2\sqrt{35} \).

### Approximate Decimal Value:
If you need an approximate decimal value for \( \sqrt{140} \), it is:
\[
\sqrt{140} \approx 11.83
\]

Would you like more details or have any questions about this process?

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Here are some related questions for practice:
1. What is the simplified form of \( \sqrt{180} \)?
2. How do you simplify \( \sqrt{50} \)?
3. What is the decimal approximation of \( \sqrt{75} \)?
4. How do you express \( \sqrt{48} \) in simplest radical form?
5. What are the prime factors of 140?

**Tip:** Always try to find the largest perfect square factor when simplifying square roots!

What is the simplified form of \( \sqrt{140} \)?

Learn how to simplify the square root of 140 to its simplest radical form. This problem demonstrates key mathematical concepts such as prime factorization and simplifying radicals. Suitable for students in Grades 8-10.

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