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The argument why the square root of 2 is irrational can be found in most high school algebra books. You can also find this proof, and several other proofs, that the square root of 2 is irrational, in the Wikipedia article "Square root of 2".The same argument can be applied to the square root of any natural number that is not a perfect square.
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Is the square root of 10 rational or irrational?
Square root of 10 is irrational.
Is the square root of 12.1 a rational number or irrational number?
irrational square root of 121 = 11 square root of 1.21 = 1.1 square root of 12.1 = 3.47...
Is the square root of 4.1 a rational or irrational number?
[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.
What is the principal root of 10?
The principal (square) root of 10 is an irrational real number which equals approximately 3.16227766.
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.
