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.
The square root of ANY positive integer is either a whole number, or an irrational number. Only the perfect squares have whole number square roots; all the rest are irrational. 97 is not a perfect square therefore √97 is irrational.
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.
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!
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.
No. 2.25 = 1.5^2 is a non-perfect square but it is rational.