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

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15y ago

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Prove that square root of 2 is an irrational number?

The square root of 2 is 1.141..... is an irrational number


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 a square root of 2 rational or irrational?

The square root of 2 is an irrational number


Prove that square of 2 is irrational?

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


Is the square root a 2 an irrational number?

Yes, the square root of 2 is an irrational number.


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 the square root of 28 irrational or rational?

irrational


Is the square root of 32 rational?

sqrt(32) = 4sqrt(2) The square root of '2' is irrational, so the square root of '32' is irrational.


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

irrational


Why is 37 square root an irrational number?

The same reasoning you may have seen in high school to prove that the square root of 2 is not rational can be applied to the square root of any natural number that is not a perfect square.


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.