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The square root of 2 is an irrational number because it cannot be expressed as a ratio or fraction, a/b, where a and b are whole-number integers, and b does not equal zero.
this is true but in simpler terms, it's b/c it's and on-going # just like pi (3.14.... and so on) and it goes on forever so there is no square root, so it is irrational.
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Is a square root of 2 rational or irrational?
The square root of 2 is an irrational number
Is the square root of a positive number an irrational number?
Sometimes the square root of a positive number can be irrational, as in the square root of 2 (which is a non-perfect square number), but sometimes it is a rational number, as in the square root of 25 (which is a perfect square number).
Is an irrational number between 2 and 4?
The square root of 3 is an irrational number
Is the square root of 32 an irrational or a rational number?
The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.
Prove the square root of 2 not irrational?
This is impossible to prove, as the square root of 2 is irrational.
