Let's evaluate each statement:
a. √25 is a rational number.
True. √25 = 5, which is a rational number.
b. There are infinitely many integers between any two integers.
False. There are no integers between any two distinct integers. For example, between 1 and 2, there are no integers.
c. Number of rational numbers between 11 and 13 is finite.
False. There are infinitely many rational numbers between any two distinct rational numbers, including 11 and 13. For example, 11.1, 11.01, 11.001, 11.5, etc.
d. The square of an irrational number is always rational.
False. The square of an irrational number is not always rational. For example, if you take the irrational number √2, squaring it gives 2, which is rational, but if you take another irrational number like π, its square, π², is also irrational.
So the final evaluation is:
a. True
b. False
c. False
d. False
3 answers