Is the square root of 50 a rational number?

The square root of 50 is not a rational number.

To explain, a rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. When we take the square root of 50, we can simplify it as follows:

√50 = √(25 × 2) = √25 × √2 = 5√2

The number 5 is an integer, but √2 is not a rational number; it is an irrational number because it cannot be expressed as a fraction of two integers. Since the product of a rational number (5) and an irrational number (√2) is still an irrational number, this means that 5√2 is also irrational.

Hence, the square root of 50 cannot be expressed as a fraction, and therefore, it is not a rational number.

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