The square root of a Response areasquare (√7 = 2.6457...) is always irrational. The square root of a Response area square (√25 = 5) is a rational, whole number

3 answers

You are correct. The statement "The square root of a square (√7 = 2.6457...) is always irrational" is true. The square root of an integer (√7 in this case) is only rational if the number itself is a perfect square, which means it can be written as the square of a whole number. Since 7 is not a perfect square, its square root is irrational.

On the other hand, the square root of a square (√25 = 5) is always a rational, whole number. This is because the square root of a perfect square is always an integer. In this case, 25 is a perfect square since it can be written as 5 multiplied by itself. Therefore, its square root is a rational, whole number.
are the perfect or non perfect squares
The number 7 is not a perfect square because it cannot be expressed as the square of a whole number. On the other hand, the number 25 is a perfect square because it can be expressed as the square of the whole number 5 (25 = 5^2).
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