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Why is the square root of 126 irrational

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The square root of 126 is an irrational number because it cannot be expressed as a simple fraction (ratio of two integers). An irrational number is a real number that cannot be represented as the quotient of two integers, where the denominator is not equal to zero.

The square root of 126 is approximately 11.22497216, and it continues indefinitely without repeating or terminating in its decimal expansion. This property of non-terminating, non-repeating decimals is characteristic of irrational numbers.

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