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.
[tex]1.\sqrt{0.5}=0.7071 \\\\ 2. \sqrt{0.8}=0.8944\\\\ 3. \sqrt{0.9}=0.9486\\\\ 4.\sqrt{2}=1.414\\\\5.\sqrt{3}=1.732\\\\6.\sqrt{4}=2\\\\7.\sqrt{1.01}=1.00498[/tex]
→→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.
