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Show whether: Number 6 can be expresse...

Show whether:
Number 6 can be expressed as a square of dots.

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To determine whether the number 6 can be expressed as a square of dots, we will analyze the concept of square numbers. ### Step-by-Step Solution: 1. **Understanding Square Numbers**: - A square number is the product of an integer multiplied by itself. For example, \(1 \times 1 = 1\), \(2 \times 2 = 4\), and \(3 \times 3 = 9\). 2. **Listing Square Numbers**: - The first few square numbers are: - \(1^2 = 1\) - \(2^2 = 4\) - \(3^2 = 9\) - \(4^2 = 16\) - \(5^2 = 25\) - From this list, we can see that the square numbers are 1, 4, 9, 16, 25, etc. 3. **Checking if 6 is a Square Number**: - Now, we need to check if 6 is among the square numbers we listed. - The square numbers we have are 1, 4, 9, 16, and 25. - The number 6 is not included in this list. 4. **Conclusion**: - Since 6 is not a square number, we conclude that 6 cannot be expressed as a square of dots. ### Final Answer: No, the number 6 cannot be expressed as a square of dots.
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