document.write( "Question 479700: Simply this: {{sqrt(2) + sqrt(6)}/{sqrt(2 + sqrt(3)}}
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document.write( "I multiplied numerator and denominator by {sqrt(2 - sqrt(3)} and was pleased to see the denominator go away, but I was still left with a radical inside a radical. (I already know that the answer is 2, but how do I get there?)
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Algebra.Com's Answer #328661 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Simply this: {{sqrt(2) + sqrt(6)}/{sqrt(2) + sqrt(3)}} \n" ); document.write( "--- \n" ); document.write( "Multiply numerator and denominator by [sqrt(2)-sqrt(3)] to get: \n" ); document.write( "--- \n" ); document.write( "{{sqrt(2) + sqrt(6)} /[2-3) \n" ); document.write( "--- \n" ); document.write( "Simplify the numerator: \n" ); document.write( "--- \n" ); document.write( "[2-sqrt(6)+sqrt(12)-sqrt(18)]/(-1) \n" ); document.write( "--- \n" ); document.write( "= [2-sqrt(6)+2sqrt(3)-3sqrt(2)]/-1 \n" ); document.write( "----- \n" ); document.write( "If the answer you have is 2 you probably made a mistake in \n" ); document.write( "your post to this site. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |