document.write( "Question 77807: When is the square root of x greater than x? \n" ); document.write( "

Algebra.Com's Answer #55783 by jim_thompson5910(35256) $\"\"$ $\"About$

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 $\"y=sqrt%28x%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "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). \n" ); document.write( "

\n" );