We have to find to which group the square root of 50 belongs.
Not all square roots are irrational, but some are, like the square root of prime numbers.
In this case we have to factorize 50:
[tex]\sqrt{50}=\sqrt{25\cdot2}=\sqrt{25}\cdot\sqrt{2}=5\sqrt{2}[/tex]As we know that the square root of 2 is irrational, a multiple of this has to be irrational.
So the square root of 50 is an irrational number.
