The square root of a perfect square (√7 = 2.6457...) is always rational, not irrational.
An irrational number is a non-repeating, non-terminating decimal, and it cannot be expressed as a fraction of two integers. The decimal representation of the square root of a perfect square will always have a finite number of digits after the decimal point and will either be terminating or repeating.
For example, the square root of 4 (√4 = 2) is a rational number because it can be expressed as a fraction (2/1). Similarly, the square root of 9 (√9 = 3) is also a rational number because it can be expressed as 3/1.
In the case of √7, it is an irrational number because it cannot be represented as a fraction of two integers and its decimal representation goes on indefinitely without repeating or terminating.
The square root of a what square (√7 = 2.6457...) is always irrational.
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