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The square root of 2 is an irrational number

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

Are negative square roots rational or irrational?

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.


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 the square root of 2 plus the square root of 8 a rational or irrational number?

irrational


Is the square root of 4 irrational or rational?

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


Is the square root of 2 rational or irrational?

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


Is the square root of 2 irrational or rational?

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


Is the square root of two fifths rational or irrational?

the square root of 2 fifths of irrational is 0.565685425


Is the square root of 2 a rational number or irrational?

irrational


Is the square root of 4 rational or 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.


Is the square root of 4 a rational or irrational number?

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


The difference of two irrational numbers is an irrattinal 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.


Is the square root of 28 rational or irrational?

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.


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.


Are root 2 and root 3 rational or irrational?

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


How do you find two rational and irrational nos?

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


Is the square root of 2 an irrational number or a rational number?

irrational


Why are square roots 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 root of 2 classified as rational?

No; √2 is irrational.


Is the square root of 10 divided by 2 rational or irrational?

5


Will you always get an irrational number when you multiply two irrational numbers if no provide a counterexample?

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


Is the square root of 84 a rational number?

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


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).


Is the square root of a number rational or irrational?

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


Which of these numbers is classified as a rational number square root 17 square root 23 square root 9 square root 2?

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


A short note on square root of rational number?

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.