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No. 1.5^2 = 2.25 is rational.
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Is the square root of 97 rational or irrational?
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.
Are non perfect squares irrational?
No. 2.25 is not a perfect square but it is rational.
Are radical expressions irrational?
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.
Is the square root of 32 an irrational or a rational number?
The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.
Is the square root of 41 irrational?
Yes in fact the root of all prime numbers is irrational.
How are perfect squares and irrational squares same?
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.
Is negative 90 squared... this is the one with the box around it... rational or irrational and are perfect squares rational or irrational?
-90 squared is rational - it is +8100. All perfect squares are not only rational but they are integers.
Is 89.1212121 rational or irrational?
All terminating and repeating numbers are rational.the square root of non perfect squares and pi are irrational.
Are all square roots are irrational numbers?
No. The square roots of perfect squares are rational.
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
What is an irrational number that is a perfect square?
That isn't possible. Rational numbers either terminate or have a repeating pattern, and irrational numbers are all the rest. Perfect squares terminate, therefore they are rational.
Is the square root of 97 rational or irrational?
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.
Are non perfect squares irrational?
No. 2.25 is not a perfect square but it is rational.
What is the difference between perfect and nonperfect square roots?
Perfect square roots are square roots that have a whole number that can go into it perfectly. Nonperfect square roots are square roots that have decimal numbers going into it. Example: Perfect Square Root: 144- Square Root: 12 Nonperfect Square Root: 24- Square Root: About 4.89
Are radical expressions irrational?
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.
Is the square root of 32 an irrational or a rational number?
The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.
Are squares of irrational numbers always rational?
No. The cube root of 3, for example is irrational. But the square of cubert(3) is 3 to the power 2/3, which is irrational. Another example, pi2 is irrational (in fact so is pi to any non-zero power).
