Study guides

☆☆

Q: Are non perfect squares irrational

Write your answer...

Submit

Still have questions?

Continue Learning about Algebra

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.

Related questions

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.

The question is based on a total misunderstanding. For example, 5 is a non-perfect square but 5 is not 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.

No. 2.25 = 1.5^2 is a non-perfect square but it is rational.

Irrational. All square roots of rational numbers are irrational, except perfect squares.

No. The square roots of perfect squares are rational.

People also asked