No. 2.25 is not a perfect square but it is rational.
No. 1.5^2 = 2.25 is rational.
If the value applied in the radical is not a perfect square, it is irrational. 25; 400; and 625 are perfect squares and are rational when applied in a radical.
No. 2.25 = 1.5^2 is a non-perfect square but it is rational.
You cannot conclude anything.2.25 is not a perfect square but its square roots are +/- 1.5 so it is perfectly possible for a number which is not a perfect square to have a rational square roots.
Sometimes the square root of a positive number can be irrational, as in the square root of 2 (which is a non-perfect square number), but sometimes it is a rational number, as in the square root of 25 (which is a perfect square number).
No. 1.5^2 = 2.25 is rational.
No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.
All terminating and repeating numbers are rational.the square root of non perfect squares and pi are irrational.
Irrational numbers are pi(3.14...), a non-terminating decimal with no pattern(ex.-0.3456789...), and non-perfect squares(ex.-square root of 34).
Perfect squares will never be irrational numbers. A perfect square is the result of multiplying an integer by itself, which always yields a rational number. Since the square root of a perfect square is an integer, perfect squares are always rational. Thus, they cannot be irrational.
45 is not a perfect square number. the closest perfect squares are 49 and 36. But it is the square of the irrational number 6.708204... (an infinite, non-terminating, non-repeating decimal).
The square root of 131 is irrational. This is because 131 is not a perfect square, meaning it cannot be expressed as the square of an integer. Since the square roots of non-perfect squares are not whole numbers, they are classified as irrational numbers.
-90 squared is rational - it is +8100. All perfect squares are not only rational but they are integers.
It is a rational number - as are ALL perfect squares.
If the value applied in the radical is not a perfect square, it is irrational. 25; 400; and 625 are perfect squares and are rational when applied in a radical.
The question is based on a total misunderstanding. For example, 5 is a non-perfect square but 5 is not irrational!
An irrational expression is a mathematical expression that contains one or more irrational numbers, such as square roots of non-perfect squares or numbers that cannot be expressed as a simple fraction. These expressions cannot be simplified to a finite decimal or fraction.