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If a is a rational number and b is a rational why could c be an irrational number

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Final answer:

A rational number divided by a rational number can result in an irrational number.

Step-by-step explanation:

If a is a rational number and b is a rational number, it is possible for c to be an irrational number. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers.

An irrational number, on the other hand, cannot be expressed as a fraction and has an infinite decimal representation that is non-repeating.

For example, consider the equation c = a/b. If a = 1 and b = 10, the result c would be the rational number 0.1. However, if we change the values of a and b to a = 1 and b = √10, where √10 is the square root of 10, the result c would be the irrational number √10/10.

User Norman Maurer
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