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Any number that is presented as an integer "over" (aka divided by) an integer is automatically a rational number - that's what the definition of a rational number is.

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Q: Is 8 over 21 a rational or irrational number?
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Is 21 over the square root of 4 a rational or irrational?

It is equal to 21/2 which is a rational number


Is 21 a rational or irrational number?

21 is a rational number.


Is 21 over 3 a rational or irrational number?

21/3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


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21/71 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


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Can Adding a rational number to an irrational number give you an irrational number?

You wont be able to add a rational number and an irrational number and get a number not in a fraction ( 3 + 22/7) (21/7 + 22/7 = 43/7) So, yes as you see in the example above it made another irrational number.