document.write( "Question 288904: SQRT 2 + SQRT 6 divided by SQRT 8 + SQRT 6 \n" ); document.write( "
Algebra.Com's Answer #209329 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (SQRT 2 + SQRT 6) divided by (SQRT 8 + SQRT 6) \n" ); document.write( "---------------------- \n" ); document.write( "Multiply numerator and denominator by sqrt(8)-sqrt(6) to get: \n" ); document.write( "---- \n" ); document.write( "[(sqrt(2)+sqrt(6))(sqrt(8)-sqrt(6)] / [8-6] \n" ); document.write( "---- \n" ); document.write( "Use FOIL on the numerator: \n" ); document.write( "---- \n" ); document.write( "[sqrt(16) -sqrt(12)+sqrt(48) - 6]/2 \n" ); document.write( "----- \n" ); document.write( "Simplify: \n" ); document.write( "--- \n" ); document.write( "[4 - 2sqrt(3) + 4sqrt(3) -6]/2 \n" ); document.write( "--- \n" ); document.write( "= [2sqrt(3)-2]/2 \n" ); document.write( "--- \n" ); document.write( "= sqrt(3)-1 \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " \n" ); document.write( " |