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By an indirect proof. Assuming the square root is rational, it can be written as a fraction a/b, with integer numerator and denominator (this is basically the definition of "rational"). If you square this, you get a2/b2, which is rational. Hence, the assumption that the square root is rational is false.
What else can I help you with?
Prove the square root of 2 not irrational?
This is impossible to prove, as the square root of 2 is irrational.
Prove that square root of 2 is an irrational number?
The square root of 2 is 1.141..... is an irrational number
How can you prove that the square root of three is an irrational number?
Because 3 is a prime number and as such its square root 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 they sqare root of 94 irrational or irrational?
The square root of 94 is an irrational number
Is the square root of 200 rational or irrational?
The square root of 200 is irrational.
Is the square root of 28 irrational or rational?
irrational
Is the square root of 7 irrational or rational?
It is a irrational number. Because the square root of every imperfect square is irrational number.
Is the square root of 33 irrational?
Yes, square root of 33 is irrational.
Is the square root of 254 irrational?
The square root of 254 can be said to be irrational.
