Is the Square Root of 30 a Rational Number?

The square root of 30 is not a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Since 30 is not a perfect square, its square root cannot be expressed as a simple fraction, and it is an irrational number.

To understand why, consider that the square root of 30 is approximately 5.47722557505. This decimal does not terminate or repeat, which are characteristics of irrational numbers. Therefore, the square root of 30 cannot be written as a fraction of two integers, confirming that it is indeed irrational.

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