document.write( "Question 1110967: Hi, I am hoping you could solve this equation with a step by step picture on how you got what you did at each step. I have an exam and I am really struggling. Thanks\r
\n" ); document.write( "\n" ); document.write( "Numerator: 3+3^(1/3)
\n" ); document.write( "Denominator: 9^(1/3)\r
\n" ); document.write( "\n" ); document.write( "It is actually the cubed root of 3 and the cubed root of 9, I just didnt know how to type that \n" ); document.write( "

Algebra.Com's Answer #725977 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think this is what you want: (you can use 'show source' to see how to format):
\n" ); document.write( " $\"+%283%2B+root%283%2C3%29%29+%2F+%28root%283%2C9%29%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "This is not an equation, it is an expression. The question must be to rationalize the expression (get rid of as many roots as possible, in particular, from the denominator):
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document.write( " Multiply top and bottom by  \r
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document.write( "=    \r
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document.write( " Simplify denominator:
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document.write( "=    \r
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document.write( "  Notice that   
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document.write( "  Multiply out the numerator, using the above equivalence:
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document.write( "=    \r
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document.write( " Factor out a 3 from the numerator and cancel it with one of the 3's in the denominator
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document.write( "  9=3*3 so now the denominator is just 3:  ( 3*Numerator / 9  =  Numerator / 3 )
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document.write( "= 
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document.write( "   \r
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document.write( "=    
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document.write( " Expand the contents of the radical signs\r
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document.write( "=    \r
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document.write( "In many cases, this is considered rationalized, and it can be left in this form.\r
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document.write( " The only additional step I see that might be needed by your teacher would be to 
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document.write( " break (A+B)/3  into  A/3 + B/3  because it lowers the exponents under the radical sign:\r
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document.write( "Starting with
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document.write( "=     \r
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document.write( "=   \n" );
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