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Answer :
Final answer:
The square root of 6.25 is a rational number because 6.25 is a perfect square, and it is equal to 2.5, which is a ratio of two integers.
Explanation:
The square root of 6.25 is a rational number. This is because 6.25 is a perfect square, which means it can be expressed as the product of a rational number multiplied by itself. Specifically, 6.25 is the square of 2.5, which is a rational number (2.5 = 25/10 which is the ratio of two integers). To find the square root of a number, you can express the number as a power of 2. For instance, if x² = √x, then in the case of 6.25 we would look for a number that when squared gives us 6.25. Since (2.5)² = 6.25, the square root of 6.25 is 2.5, which is rational as it can be expressed as a ratio of two integers (25/10).
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Rewritten by : Barada
The square root of 6.25 is 2.5, which is a rational number because it can be expressed as a fraction (5/2), the ratio of two integers.
The square root of 6.25 is a rational number. This can be determined by finding the number that, when multiplied by itself, yields 6.25. The square root of a perfect square, which is what 6.25 is, will always be rational. In this case, the number that multiplies by itself to give 6.25 is 2.5. The number 2.5 can be expressed as the fraction 5/2, clearly showing it is a rational number since it can be written as the ratio of two integers.
