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is the root of a natural number is irratinal number
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GPT-4o mini
The square root of a natural number can be either a rational number or an irrational number, depending on the specific number you are taking the square root of.
- If the natural number is a perfect square (like 1, 4, 9, 16, 25, etc.), then its square root is a rational number. For example, the square root of 4 is 2, and the square root of 16 is 4.
- If the natural number is not a perfect square (like 2, 3, 5, 6, 7, 8, 10, etc.), then its square root is an irrational number. For example, the square root of 2 is approximately 1.41421356..., and it cannot be expressed as a fraction of two integers.
In summary, the square root of a natural number is irrational if the number is not a perfect square, and it is rational if the number is a perfect square.
- If the natural number is a perfect square (like 1, 4, 9, 16, 25, etc.), then its square root is a rational number. For example, the square root of 4 is 2, and the square root of 16 is 4.
- If the natural number is not a perfect square (like 2, 3, 5, 6, 7, 8, 10, etc.), then its square root is an irrational number. For example, the square root of 2 is approximately 1.41421356..., and it cannot be expressed as a fraction of two integers.
In summary, the square root of a natural number is irrational if the number is not a perfect square, and it is rational if the number is a perfect square.
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