Answer with explanation:
Yes, it is true statement that,square root of positive number greater than 1 is less than the number.
I will explain this by giving few examples.

→→So, we can say with conformity by looking at first three examples that, that square root of a number between 0 and 1 is always greater than that number,and from example 4 to 7, square root of number greater than 1 will be always less than the number itself.