# Irrational Numbers on a Number Line

Since each irrational number can be represented as infinite decimal, then we can proceed in the same way, as we did when placed decimals on a number line.

pi~~3.14, so it is slightly to the right of 3.

Since 4<5<9, then sqrt(4)<sqrt(5)<sqrt(9) or 2<sqrt(5)<3. So, sqrt(5) is somewhere between 2 and 3 (close to 2, because sqrt(5)~~2.236).

Similarly, since -64<-50<-27, then root(3)(-64)<root(3)(-50)<root(3)(-27) or -4<sqrt(-50)<-3. So, root(3)(-50) is somewhere between -4 and -3 (closer to -4, because root(3)(-50)~~-3.684).