0
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.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
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.
What is an irrational number between 1 and root 2?
(root 2)/3
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.
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.
Can a square root be a whole number?
Yes. The square of a whole number is always a whole number. For example, 3 squared is 9, so the square root of 9 is 3. What you never have, is the square root of a whole number being a fraction that is not a whole number. The square root of a whole number is either a whole number or an irrational number. For example, the square root of 2 is irrational, because there are no 2 whole numbers a and b such that a/b squared is 2. This is not terribly difficult to prove, but I have already said too much; I have answered your question.
Prove that square root of 2 is an irrational number?
The square root of 2 is 1.141..... 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.
Prove that root 2 is irrational number?
I linked a good resource that explains what you asked below.
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 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 a square root of 2 rational or irrational?
The square root of 2 is an irrational number
How is root 2 irrational?
2 is a prime number and its square root is an irrational number that cannot be expressed as a fraction
Is the square root of 2 an irrational number or a rational number?
irrational
Can multiplying two irrational numbers give you an irrational number?
Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)
Is the square root of 2 a irrational number?
Yes, they are irrational.
What is 8 root 2 as a whole number?
It can't be expressed as a whole number. The square root of two is irrational, and the product of an irrational number and a rational number is also irrational. So 8*sqrt(2) is irrational.
