document.write( "Question 83552: Simplify (rationalize all denominators) \r
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document.write( "3/[SQRT(5) - 2] \r
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document.write( "I am pretty sure I need to multiply 3/[SQRT(5) - 2] by SQRT(5)+2 / SQRT (5) +2.
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document.write( "Which I think would bring me to an answer of 3[SQRT(5)+6. I am not sure if i did everything right and am wonder if I came to the correct answer. Thank you.
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Algebra.Com's Answer #60083 by fongy(1)![]() ![]() ![]() You can put this solution on YOUR website! Your answer is incorrect. The correct answer should be 3[sqrt(5)+ 2]. \n" ); document.write( "However, your approach is correct. GO through the below solution slowly. \n" ); document.write( "The correct steps in getting the answer are:\r \n" ); document.write( "\n" ); document.write( "Step(1): 3/[sqrt(5)- 2]= 3[sqrt(5)+ 2]/([sqrt(5)- 2]x[sqrt(5)+ 2]) \n" ); document.write( "--> this step is to mulitipy numerator and denominator by [sqrt(5)+ 2]\r \n" ); document.write( "\n" ); document.write( "Step (2): = 3[sqrt(5)+ 2]/[(sqrt(5))^2 - (2)^2] \n" ); document.write( "--> The denominator is converted into [(sqrt(5))^2 - (2)^2] according to the identities: ([sqrt(5)- 2]x[sqrt(5)+ 2])= [(sqrt(5))^2 - (2)^2] \n" ); document.write( "Step (3): = 3[sqrt(5)+ 2]/[5 - 4] \n" ); document.write( " = 3[sqrt(5)+ 2]/[1] \n" ); document.write( " = 3[sqrt(5)+ 2] \n" ); document.write( " = answer\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |