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Is the square root of eight rational or irrational?
Irrational. The square root of a positive integer is either an integer (that is, if the integer is a perfect square), or an irrational number.
Is the square root of 39 irrational?
Yes. The square root of a positive integer can only be an integer (if your integer is a perfect square), or an irrational number (if it isn't).
Is 72 an integer is a perfect square?
No because its square root is an irrational number
If you do not know the square root of a really big number how do you know if its rational?
Assuming your number is an integer: if the number is a perfect square, the number is of course an integer, and therefore rational. If the number is NOT a perfect square, it is irrational.
Is the square root of -47 irrational?
Yes. The square root of any positive integer can only be either an integer (if the number, for example 49, happens to be a perfect square), or an irrational number.
Is root 2 a rational number?
The square root of 2 is irrational. In general, the square root of a positive integer is either an integer (if you take the square root of a perfect square), or it is irrational.
Is 6 square root of 26 rational number?
It is irrational. * The square root of any positive integer, except of a perfect square, is irrational. * The product of an irrational number and a rational number (except zero) is irrational.
Will perfect squares always never or sometimes be irrational numbers?
Perfect squares will never be irrational numbers. A perfect square is the result of multiplying an integer by itself, which always yields a rational number. Since the square root of a perfect square is an integer, perfect squares are always rational. Thus, they cannot be irrational.
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 27 a rational or irrational number?
The square root of 27 is an irrational number
Why is square root of 9 a rational number and square root of 3 is an irrational number?
Because 9 is a perfect square - which means that its square root is an integer. 3 is not a perfect square.
Is the square root of 41 an irrational or a rational number?
Irrational. The square root of a positive integer is either an integer, or an irrational number.
