document.write( "Question 1021600: What sort of approach should i do, when im faced with a question such as:\r
\n" ); document.write( "\n" ); document.write( "Given that \"+%28a-sqrt%28b%29%29%5E2=%28a%5E2%2Bb%29-2a%2Asqrt%28b%29+\", then \"+sqrt%2828%2B10sqrt%283%29%29+\" is equal to:\r
\n" ); document.write( "\n" ); document.write( "A) \"+abs%28-5-sqrt%283%29%29+\"
\n" ); document.write( "B) \"+5-sqrt%283%29+\"
\n" ); document.write( "C) \"+abs%28sqrt%283%29-5%29+\"
\n" ); document.write( "D) \"+3%2Bsqrt%285%29+\"
\n" ); document.write( "E) \"+3-sqrt%285%29+\"\r
\n" ); document.write( "\n" ); document.write( "What is the answer between these multiple choices, and how may i get to that answer?
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Algebra.Com's Answer #637327 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
You would be better off if you considered \"+%28a%2Bsqrt%28b%29%29%5E2=%28a%5E2%2Bb%29%2B2a%2Asqrt%28b%29+\".
\n" ); document.write( "==> \"+%28a%2Bsqrt%28b%29%29%5E2=%28a%5E2%2Bb%29%2B2a%2Asqrt%28b%29+=+28%2B10sqrt%283%29+\".\r
\n" ); document.write( "\n" ); document.write( "This implies\r
\n" ); document.write( "\n" ); document.write( "2a = 10 and \"a%5E2%2Bb+=+28\"
\n" ); document.write( "==> a = 5 and \"5%5E2%2Bb+=+25%2Bb+=+28\" ==> b = 3\r
\n" ); document.write( "\n" ); document.write( "Therefore,
\n" ); document.write( "\"+%285%2Bsqrt%283%29%29%5E2+=+28%2B10sqrt%283%29+\".
\n" ); document.write( "Taking square roots of both sides of the last equation, we get\r
\n" ); document.write( "\n" ); document.write( "\"abs%285%2Bsqrt%283%29%29+=+sqrt%2828%2B10sqrt%283%29%29\".\r
\n" ); document.write( "\n" ); document.write( "But \"abs%285%2Bsqrt%283%29%29+=+abs%28-5-sqrt%283%29%29\", so now you know the answer!
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