Most probably the answer is NO, but the space between 2.5 and 2 is confusing.
No.
no
No.
5 squared is 5*5 is 25. 25 is not an irrational number.
No
No. If a number is irrational, it continues endlessly without a pattern. Since 2.5 stops at 5, it is rational; but if it were, say, 2.573583..., it would be irrational. Also, it can be written as the fraction 25/10, or 5/2.
Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
All of them except irrational number.
No.
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.