document.write( "Question 613663: Here is my problem: My problem is asking me to rationalize the denominator and simplify the sqrt(45/x). I have tried to multiply the 45 with a 5 to simplify it, but that didn't work. Tried to figure out a way to get the x from the denominator, nothing worked. I remember learning about these kinds of problems in my old Algebra class but I completely forgot how to do them. Can you help me with this? \n" ); document.write( "
Algebra.Com's Answer #386134 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
expression is:
\n" ); document.write( "sqrt(45/x)
\n" ); document.write( "this is equivalent to sqrt(45) / sqrt(x)
\n" ); document.write( "multiply both denominator and numerator by sqrt(x) and you'll get:
\n" ); document.write( "(sqrt(45) * sqrt(x) / (sqrt(x))^2
\n" ); document.write( "since (sqrt(x))^2 is equal to x, then the expression becomes:
\n" ); document.write( "(sqrt(45) * sqrt(x) / x
\n" ); document.write( "sqrt(45) is the same as sqrt(5*9) which is the same as 3*sqrt(5).
\n" ); document.write( "your expression becomes:
\n" ); document.write( "(3*sqrt(5)*sqrt(x))/x
\n" ); document.write( "this can be simplified further to:
\n" ); document.write( "(3*sqrt(5x))/x
\n" ); document.write( "i don't think it can be simplified further.
\n" ); document.write( "test your solution by randomly picking a value for x and see if the original expression yields the same answer as the final expression.
\n" ); document.write( "example:
\n" ); document.write( "x = 3
\n" ); document.write( "original expression of sqrt(45/x) becomes sqrt(45/3) becomes 3.87298....
\n" ); document.write( "final expression of (3*sqrt(5x))/x becomes (3*sqrt(15)/3) becomes 3.87298...
\n" ); document.write( "the answer is the same so the expressions can be reasonably assumed to be equivalent.\r
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