Which of the following is not an attribute of parallelograms?
2 answers:
You might be interested in
<h3><u>Given</u><u> </u><u>:</u></h3>
- Length =
cm.
- Breadth =
cm.
The area of rectangle.
<h3><u>Solution</u><u> </u><u>:</u></h3>Area of rectangle = Length × Breadth
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 which is rational. This goes against the claim that
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.