document.write( "Question 1152514: Find the square root of 32-6√15 \n" ); document.write( "
Algebra.Com's Answer #774547 by ikleyn(52852)\"\" \"About 
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document.write( "The key step is to notice (or to derive) that\r\n" );
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document.write( "    32 - \"6%2Asqrt%2815%29\" = \"%283%2Asqrt%283%29+-+sqrt%285%29%29%5E2\".    (1)\r\n" );
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document.write( "Indeed, square the binomial  \"3%2Asqrt%283%29+-+sqrt%285%29\",  using the formula   \"%28a-b%29%5E2\" = \"a%5E2+-+2ab+%2B+b%5E2\"  with a = \"3%2Asqrt%283%29\"  and  b = \"sqrt%285%29\".\r\n" );
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document.write( "As soon as you established it, only one step remained to the answer:\r\n" );
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document.write( "    the square root of  \"32-6%2Asqrt%2815%29\" is the square root of the right side of (1),  which (i.e. the square root)  is  \"3%2Asqrt%283%29+-+sqrt%285%29\".    ANSWER\r\n" );
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