document.write( "Question 262842: Simplify:\r
\n" ); document.write( "\n" ); document.write( "(sqrt(50) - 2sqrt(5))(5sqrt(2) + sqrt(20)) \n" ); document.write( "
Algebra.Com's Answer #193628 by dabanfield(803)\"\" \"About 
You can put this solution on YOUR website!
Expand by multiplying out the terms:\r
\n" ); document.write( "\n" ); document.write( "(sqrt(50) - 2sqrt(5))(5sqrt(2) + sqrt(20)) =\r
\n" ); document.write( "\n" ); document.write( "sqrt(50)*5*sqrt(2) + sqrt(50)*sqrt(20) - 2*sqrt(5)*5*sqrt(2) - 2*sqrt(5)*sqrt(20) =\r
\n" ); document.write( "\n" ); document.write( "5*sqrt(50*2) + sqrt(50*20) - 10*sqrt(5*2) - 2*sqrt(5*20) [Remember sqrt(a)*sqrt(b) = sqrt(a*b)] \r
\n" ); document.write( "\n" ); document.write( "The above is then equal to:
\n" ); document.write( "5*sqrt(100) + sqrt(1000) - 10*sqrt(10) - 2*sqrt(100) =
\n" ); document.write( "5*10 + sqrt(100*10) - 10*sqrt(10) - 2*10 =
\n" ); document.write( "50 + sqrt(100)*sqrt(10) - 10*sqrt(10) - 20 =
\n" ); document.write( "50 + 10*sqrt(10) - 10 sqrt(10) - 20 = 30
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );