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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 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.

irrational

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

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

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.

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

The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.

The square root of 28 is the same as the 2 x the square root of 7. 7 is prime, and so the square root of 7 is irrational. Thus the square root of 28 is irrational.

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.

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

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

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.

No; √2 is irrational.

5

The square root of 2 times the square root of 2 is rational.

No because it is 2 times the square root of 21 which is an irrational numberThe square root of 84 is not 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).

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

square root of 9 = 3 but 2, 17 and 23 are irrational numbers

Square root of a rational number may either be rational or irrational. For example 1/4 is a rational number whose square root is 1/2. Similarly, 4 is 4/1 which is rational and the square root is 2 which of course is also rational. However, 1/2 and 2 are rational, but their square roots are irrational. We can say the square root of a rational number is always a real number. We can also say the rational numbers whose square roots are also rational are perfect squares or fractions involving perfect squares.