document.write( "Question 144232: Perform the indicated operations:
\n" ); document.write( "2√[48] + 7√[12] –√[27]\r
\n" ); document.write( "\n" ); document.write( "I have no clue how to even start this one.. \n" ); document.write( "

Algebra.Com's Answer #104998 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Think perfect squares!
\n" ); document.write( "Evaluate:
\n" ); document.write( " $\"2sqrt%2848%29%2B7sqrt%2812%29-sqrt%2827%29\"$ Now factor each radicand (the number under the radical sign) so that one of the factors in each is a perfect square.
\n" ); document.write( " $\"2sqrt%2816%2A3%29%2B7sqrt%284%2A3%29-sqt%289%2A3%29\"$ Now rewrite this to show the squared numbers.
\n" ); document.write( " $\"2sqrt%284%5E2%2A3%29%2B7sqrt%282%5E2%2A3%29-sqrt%283%5E2%2A3%29\"$ Now take the square root of the squared numbers and move them outside of the radical.
\n" ); document.write( " $\"2%2A4sqrt%283%29%2B7%2A2sqrt%283%29-3sqrt%283%29\"$ Simplify this a bit.
\n" ); document.write( " $\"8sqrt%283%29%2B14sqrt%283%29-3sqrt%283%29\"$ Now factor out the $\"sqrt%283%29\"$ .
\n" ); document.write( " $\"%288%2B14-3%29sqrt%283%29\"$ Simplify.
\n" ); document.write( " $\"19sqrt%283%29\"$ ...and there it is!
\n" ); document.write( " \n" ); document.write( "

\n" );