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).
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).
-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.
In the complex field, every number is a square so there are no numbers that are not squares. If the domain is reduced to that of real numbers, any negative number is not a square. However, the term "square numbers" (not number's!) is often used to refer to perfect square numbers. These are numbers that are squares of integers. Therefore the squares of fractions or Irrational Numbers are non-squares.
No. The square roots of perfect squares are rational.