document.write( "Question 151067: This question isn't from a book, but from a summer packet.\r
\n" ); document.write( "\n" ); document.write( "\"+sqrt%288x%5E3%29+%2B+sqrt%282x%29+\"\r
\n" ); document.write( "\n" ); document.write( "I've only gotten so far as breaking down the first half of the formula so that I'm left with:\r
\n" ); document.write( "\n" ); document.write( "\"+2%2Asqrt%282x%5E3%29+%2B+sqrt%282x%29+\"\r
\n" ); document.write( "\n" ); document.write( "I don't know what to do next!
\n" ); document.write( "

Algebra.Com's Answer #110989 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'll start where you left off.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+2%2Asqrt%282x%5E3%29+%2B+sqrt%282x%29+\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+2%2Asqrt%282%2Ax%5E2%2Ax%29+%2B+sqrt%282x%29+\" Factor \"2x%5E3\" into \"2%2Ax%5E2%2Ax\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+2%2Asqrt%282%29%2Asqrt%28x%5E2%29%2Asqrt%28x%29+%2B+sqrt%282x%29+\" Break up the root.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+2%2Asqrt%282%29%2Ax%2Asqrt%28x%29+%2B+sqrt%282x%29+\" Take the square root of \"x%5E2\" to get \"x\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+2x%2Asqrt%282x%29%2B+sqrt%282x%29+\" Multiply and combine the roots.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+sqrt%282x%29%282x%2B+1%29+\" Factor out the GCF \"sqrt%282x%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+%282x%2B+1%29sqrt%282x%29+\" Rearrange the terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"+sqrt%288x%5E3%29+%2B+sqrt%282x%29+\" simplifies to \"+%282x%2B+1%29sqrt%282x%29+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, \"+sqrt%288x%5E3%29+%2B+sqrt%282x%29+=+%282x%2B+1%29sqrt%282x%29+\" where \"x%3E=0\"
\n" ); document.write( "
\n" );