document.write( "Question 736877: please help me to simlify: √252- 5√6+√294-3√(1/(6 )) \n" ); document.write( "
Algebra.Com's Answer #450312 by Susan-math(40)\"\" \"About 
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Factor 252 = 2(126)=(2)(2)(63)=(2)(2)(3)(21)=(2)(2)(3)(3)(7)
\n" ); document.write( "So \"sqrt%28252%29=%282%29%283%29sqrt%287%29=6sqrt%287%29\"\r
\n" ); document.write( "\n" ); document.write( "Factor 294=(2)(147)=(2)(3)(49)=(2)(3)(7)(7)
\n" ); document.write( "So \"sqrt%28294%29=7sqrt%286%29\"\r
\n" ); document.write( "\n" ); document.write( "Rationalize the denominator of \"sqrt%281%2F6%29\"by multiplying by \"sqrt%286%29%2Fsqrt%286%29\" to get
\n" ); document.write( "\"sqrt%286%29%2F6\". So \"3%2Asqrt%281%2F6%29+=+3%2Asqrt%286%29%2F6+=sqrt%286%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "So now we have: \"6sqrt%287%29-5sqrt%286%29+%2B7sqrt%286%29+-+sqrt%286%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "And we can add like term with the same square root by adding their coefficients.\r
\n" ); document.write( "\n" ); document.write( "So we add \"-5+%2B+7+-+1%2F2+=+2-1%2F2+=+3%2F2\" to get a final answer of \r
\n" ); document.write( "\n" ); document.write( "\"6sqrt%287%29+%2B3%2F2%2Asqrt%286%29\"
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