document.write( "Question 751341: \"10+sqrt+%281%2F5%29+-+sqrt+%2845%29+-+12+sqrt+%285%2F9%29\"\r
\n" ); document.write( "\n" ); document.write( "I have tried rationalizing the denominators and mutliplying by either radical 5 or 3 radical 5, but am struggling with what to do with the whole numbers before the sqrt when I do that. \r
\n" ); document.write( "\n" ); document.write( "Also tried making this into improper fractions, but was again foiled with the initial 10 and then the 1 over sqrt 5.\r
\n" ); document.write( "\n" ); document.write( "Hope you can help me.
\n" ); document.write( "

Algebra.Com's Answer #457144 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"10+sqrt+%281%2F5%29+-+sqrt+%2845%29+-+12+sqrt+%285%2F9%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let us look at just the square roots having the irrational denominators.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "*
\n" ); document.write( "\"sqrt%281%2F5%29=1%2Fsqrt%285%29\"
\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "*
\n" ); document.write( "\"sqrt%285%2F9%29=sqrt%285%2F%283%2A3%29%29=highlight%28sqrt%285%29%2F3%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your expression should now be worked into this:
\n" ); document.write( "\"highlight%2810%2Asqrt%285%29%2F5-sqrt%285%2A9%29-12%2Asqrt%285%29%2F3%29\"
\n" ); document.write( "and that should now be easier to finish simplifying.
\n" ); document.write( "
\n" );