0
This is impossible to prove, as the square root of 2 is irrational.
Add your answer:
Earn +20 pts
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
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 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 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 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.
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 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 a 2 an irrational number?
Yes, the square root of 2 is an irrational number.
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.
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 the square root of 2 plus the square root of 8 a rational or irrational number?
irrational
