SOLUTION: When is the square root of x greater than x?

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Question 77807: When is the square root of x greater than x?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%2C+sqrt%28x%29%29+ graph of y=x and y=sqrt%28x%29+
If you look the graph, you can see that x%3Csqrt%28x%29 for the interval . The reason is simply because the square root of a number reduces that number. The square root of a fraction, reduces the denominator if the numerator is 1. For instance, the square root of 1%2F4 is 1%2F2. Since 1%2F2%3E1%2F4 it shows that x%3Csqrt%28x%29 is true for values in (0,1).