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Is the square root of a positive number an irrational number?

Updated: 4/28/2022

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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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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.

Is the square root of 27 a rational or irrational number?

The square root of 27 is an irrational number

Is square root 61 irrational?

The square root of 61 is an irrational number

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.

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.

Related questions

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.

Is the square root of 27 a rational or irrational number?

The square root of 27 is an irrational number

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 square root 61 irrational?

The square root of 61 is an irrational number

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.

Can anumber be positive and irrational?

Yes, as for example the square root of 2 is a positive irrational number.

Is the square root of 5 and squa re root of 21 irrational?

Yes. The square root of a natural number (positive integer) is either an integer, 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 the square root of 13 is a rational number?

No. The square root of a positive integer is either a whole number or it is irrational.

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 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 56 rational?

No. The square root of a positive integer can only be an integer, or an irrational number.

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