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It is not possible to prove something that is not true. The square of 2 is rational, not irrational.

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Q: Prove that square of 2 is irrational?
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Related questions

Prove the square root of 2 not irrational?

This is impossible to prove, as the square root of 2 is irrational.


How do you prove that root 2 root 3 is an irrational number?

It is known that the square root of an integer is either an integer or irrational. If we square root2 root3 we get 6. The square root of 6 is irrational. Therefore, root2 root3 is irrational.


Is the square root of 6 rational?

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.


Is the square root of a 143 a irrational number?

Yes. The square root of a positive integer can ONLY be either:* An integer (in this case, it isn't), OR * An irrational number. The proof is basically the same as the proof used in high school algebra, to prove that the square root of 2 is irrational.


Is a square root of 2 rational or irrational?

The square root of 2 is an irrational number


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.


Is the square root of 2 irrational or rational?

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


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Is the square root of two fifths rational or irrational?

the square root of 2 fifths of irrational is 0.565685425


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.


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the square root of 2 is (an irrational number): 1.41421356....