document.write( "Question 6207: Simplify the radicals....
\n" ); document.write( "radical sign 40 + radical sign 10 + radical sign 2/5 \n" ); document.write( "

Algebra.Com's Answer #3310 by Abbey(339) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%2840%29%2Bsqrt%2810%29%2Bsqrt%282%29%2F5\"$
\n" ); document.write( "First get rid of the denominator by multiplying everything by 5:
\n" ); document.write( " $\"5%2Asqrt%2840%29%2B5%2Asqrt%2810%29%2Bsqrt%282%29\"$
\n" ); document.write( "The key to simplifying radicals is to factor what is inside the radical
\n" ); document.write( " $\"5%2Asqrt%282%2A2%2A2%2A5%29%2B5%2Asqrt%282%2A5%29%2Bsqrt%282%29\"$
\n" ); document.write( "then pull out groups of numbers according to the index on the radical - if there is no index, it is by twos. In this case, we can only pull out a set of two \"2\"'s from the first radical sign. When you pull out the group represent it in front of the radical by one of it's members\r
\n" ); document.write( "\n" ); document.write( "example:\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%283%2A3%2A3%29=3%2Asqrt%283%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so your problem becomes:
\n" ); document.write( " $\"5%2A2%2Asqrt%282%2A5%29%2B5%2Asqrt%282%2A5%29%2Bsqrt%282%29\"$
\n" ); document.write( "then add anything that has the same radical:
\n" ); document.write( " $\"10%2Asqrt%2810%29%2B5%2Asqrt%2810%29%2Bsqrt%282%29\"$
\n" ); document.write( " $\"15%2Asqrt%2810%29%2Bsqrt%282%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );