15. If a number x is rational, must the number x² be rational as well? Explain.

Mathematics

1 answer:

sammy [17]2 years ago

8 0

The square of a rational number is a rational number.

<h3>What are rational numbers?</h3>

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

Therefore, rational numbers are express as follows; p / q.

Hence, x is a rational number . let's confirm that x² is rational or not.

Therefore, When we square a rational number, each prime factor has an even exponent.

For example

p / q = p²/ q²

Hence, the square is a rational number.

learn more on rational number: brainly.com/question/14066831

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Step-by-step explanation:

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