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Which of the following is rational?a. 4/0b. 0/4c. √3d. π

Question

Which of the following is rational?a. 4/0b. 0/4c. √3d. π

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Solution

The rational numbers are those that can be expressed as a fraction where both the numerator and the denominator are integers and the denominator is not zero.

a. 4/0: This is undefined because division by zero is not allowed in mathematics. So, it's not a rational number.

b. 0/4: This equals 0, which is a rational number because it can be expressed as a fraction where the numerator is 0 and the denominator is an integer.

c. √3: This is an irrational number because it cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating.

d. π: Pi is also an irrational number. It cannot be exactly expressed as a fraction of two integers and its decimal representation is non-terminating and non-repeating.

So, the rational number among the given options is 0/4.

This problem has been solved

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