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The square root of 2 is an irrational number

Q: Is a square root of 2 rational or irrational?

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If the positive square root (for example, square root of 2) is irrational, then the corresponding negative square root (for example, minus square root of 2) is also irrational.

that depends on the number. sqrt(2) is irrational, sqrt(4)=2 is rational

It is equal to 21/2 which is a rational number

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).

No; you can prove the square root of any positive number that's not a perfect square is irrational, using a similar method to showing the square root of 2 is irrational.

Related questions

If the positive square root (for example, square root of 2) is irrational, then the corresponding negative square root (for example, minus square root of 2) is also irrational.

It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.

irrational

The square root of (any number that isn't a perfect square) is irrational.

the square root of 2 fifths of irrational is 0.565685425

The square root of 4 is 2 which is a rational number

irrational

The square roots of 2 and 3 are irrational but not transcendent.

No; √2 is irrational.

1, 2 are rational and square root of 2 and pi are irrational.

5

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.