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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Rational numbers can be expressed as a fraction of two whole numbers
Sq rt (10) can not be expressed in this way so it is irrational.
Square root of 10 is irrational.
irrational square root of 121 = 11 square root of 1.21 = 1.1 square root of 12.1 = 3.47...
[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.
The principal (square) root of 10 is an irrational real number which equals approximately 3.16227766.
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.