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.
Answer:
11/4
Step-by-step explanation:
3/2 can be re-written as 6/4. they now have the same denominator. 6/4 + 5/4 = 11/4
Answer:
4
Step-by-step explanation:
Answer:
<u>6.2 , 6.2052 , 6.705 , 6.75</u>
Step-by-step explanation:
Least to Greatest!