Indices and Surds : Properties of Numbers between 0 and 1
![Properties between 0 and 1](http://webmaggu.com/wp-content/uploads/2024/03/properties-between-0-and-1-webmaggu.jpeg)
Let’s take a number between 0 and 1 (both numbers excluded) and try to find out the value of its indices and surds.
Let’s take x = 0.1
and try to find its power
We can clearly see that the value of x is continuously decreasing as the power is increasing.
Similarly let’s try to find its surds
We can clearly see that the value of x is continuously increasing as the order of surd is increasing.
So if a number x is such that 0<x<1, then
According to the above property we can easily say that.