document.write( "Question 160182: √2(9 √5 - 7 √9)=? I am finding it very hard to solve this type of problem. Can you help me out? \n" ); document.write( "
Algebra.Com's Answer #118188 by midwood_trail(310)![]() ![]() ![]() You can put this solution on YOUR website! √2(9 √5 - 7 √9)=\r \n" ); document.write( "\n" ); document.write( "Use the distributive rule.\r \n" ); document.write( "\n" ); document.write( "Do you remember what that is?\r \n" ); document.write( "\n" ); document.write( "Here is the basic idea:\r \n" ); document.write( "\n" ); document.write( "This means to multiply every number or term that lies inside the parentheses by the number or term that is outside the parentheses.\r \n" ); document.write( "\n" ); document.write( "√2 times (9√5) = 9√10\r \n" ); document.write( "\n" ); document.write( "√2 times (-7√9) = -7√18\r \n" ); document.write( "\n" ); document.write( "We have now removed the parentheses. This is the main reason why we use the distributive rule.\r \n" ); document.write( "\n" ); document.write( "We now have this:\r \n" ); document.write( "\n" ); document.write( "9√10 - 7√18 =\r \n" ); document.write( "\n" ); document.write( "Do you see √18?\r \n" ); document.write( "\n" ); document.write( "We can break this radical down.\r \n" ); document.write( "\n" ); document.write( "√9 times √2 = 3√2\r \n" ); document.write( "\n" ); document.write( "We now have this:\r \n" ); document.write( "\n" ); document.write( "9√10 - 7(3√2) = 9√10 - 21√2\r \n" ); document.write( "\n" ); document.write( "We cannot break this question down anymore.\r \n" ); document.write( "\n" ); document.write( "Final answer: 9√10 - 21√2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |