document.write( "Question 169550: sqrt56+ sqrt126 \n" ); document.write( "
Algebra.Com's Answer #124957 by midwood_trail(310) ![]() You can put this solution on YOUR website! sqrt{56} + sqrt{126} =\r \n" ); document.write( "\n" ); document.write( "Break each sqrt separately.\r \n" ); document.write( "\n" ); document.write( "sqrt{56} = sqrt{4} times sqrt{14}, where the square root of 4 is a perfect square.\r \n" ); document.write( "\n" ); document.write( "sqrt{56} = 2(sqrt{14}).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=======================\r \n" ); document.write( "\n" ); document.write( "sqrt{126} = sqrt{9} times sqrt{14}), where sqrt{9} is a perfect square.\r \n" ); document.write( "\n" ); document.write( "sqrt{126} = 3(sqrt{14})\r \n" ); document.write( "\n" ); document.write( "Now that we have the same radicand 14, we can add the radicals.\r \n" ); document.write( "\n" ); document.write( "2(sqrt{14}) + 3(sqrt{14}) = 5(sqrt{14}) as the final answer.\r \n" ); document.write( "\n" ); document.write( "============================================================\r \n" ); document.write( "\n" ); document.write( "NOTE: We cannot break down sqrt{14} anymore because it is already in lowest terms.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |