You can find counterexamples to disprove this claim. We have positive integers that are perfect square numbers; when we take the square root of those numbers, we get an integer.

For example, the square root of 1 is 1, which is an integer. So if y = 1, then the denominator becomes an integer and thus we get a quotient of two integers (since x is also defined to be an integer), the definition of a rational number.

Example: x = 2, y = 1 ends up with $\frac{2}{\sqrt{1}} = \frac{2}{1}$ which is rational. This goes against the claim that $x/\sqrt{y}$ is always irrational for positive integers x and y.

Any integer y that is a perfect square will work to disprove this claim, e.g. y = 1, y = 4, y= 9, y = 16. So it is not always irrational.

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3 years ago

While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. H

allochka39001 [22]

The number of times she has to fill it up is 2 times

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3 years ago

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Fred was paid $36.00 for working 4 hours. how much is he paid per hour?​

Fred was paid $36.00 for working 4 hours. how much is he paid per hour?