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Sometimes.
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∙ 2016-12-18 18:08:43
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Is an irrational number times an irrational number always irrational?
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
Is the square of an irrational number rational?
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.
Why is the location of an irrational number an approximate location?
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.
Can multiplying two irrational numbers give you an irrational number?
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)
Is the square of two irrational numbers irrational?
you can't FIGURE OUT THE SQUARE OF THE IRRATIONAL NUMBER
Is the square root of a number always an irrational number?
No
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).
Is an irrational number times an irrational number always irrational?
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
Is the product of two irrational numbers always an irrational number?
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.
Is the square of an irrational number always rational?
No. An example of this is pi.
Why square roots are irrational?
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.
Is the square of an irrational number rational?
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.
Is the product of two irrational numbers 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).
Why an irrational number plus an irrational number equal a rational?
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.
Is 1 plus the square root of 7 rational or 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.
Is the square root of any composite numbers 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.
Is the square root of 85 a rational number?
No. The square root of an integer is always either an integer or an irrational number.
