Study guides

☆☆

Q: Is the square of a number irrational Always sometimes never?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.

Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.

It is not! The square root of 2, for example, is irrational but you can always locate it exactly by using the diagonal of a unit square.

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)

you can't FIGURE OUT THE SQUARE OF THE IRRATIONAL NUMBER

Related questions

No

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).

The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.

No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.

No. An example of this is pi.

Not always as for instance the square root of 16 is 4 which is a rational number but the square root of 2 is an irrational number.

Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.

Sometimes it is and sometimes it isn't. The square root of 2 and the square root of 3 are both irrational, as is their product, the square root of 6. The square root of 2 and the square root of 8 are both irrational, but their product, the square root of 16, is rational (in fact, it equals 4).

That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.

The square root of any positive integer can only be a WHOLE NUMBER or IRRATIONAL, so the square root of 7 is irrational.On the other hand, the sum of a rational and an irrational number is always irrational.

The square root of a composite number is not always an irrational number. e.g. 4 is a composite number and its square root is 41/2 = 2, which is rational number.

No. The square root of an integer is always either an integer or an irrational number.

People also asked

Featured Questions