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Earn +20 ptsQ: Are non perfect squares irrational
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Is all non-perfect squares irrational?
No. 1.5^2 = 2.25 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 a non perfect square irrational?
No. 2.25 = 1.5^2 is a non-perfect square but it is rational.
What can you conclude about the square roots of numbers that are not perfect squares?
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.
Is the square root of a positive number an irrational number?
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).
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