document.write( "Question 633735: Simplify
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Algebra.Com's Answer #399087 by Edwin McCravy(20054) $\"\"$ $\"About$

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√(x)+(√(x-3)=3
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document.write( " +  = 3\r\n" );
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document.write( "Isolate one of the terms with a radical \r\n" );
document.write( "(preferably the more complicated one)\r\n" );
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document.write( "        = 3 - \r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "    ()² = (3 - )²\r\n" );
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document.write( "        x - 3 = (3 - )(3 - )\r\n" );
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document.write( "        x - 3 = 9 - 3 - 3 + x\r\n" );
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document.write( "        x - 3 = 9 - 6 + x\r\n" );
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document.write( "Simplify and isolate the term with the radical\r\n" );
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document.write( "        6 = 12\r\n" );
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document.write( "Divide both sides by 6\r\n" );
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document.write( "          = 2\r\n" );
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document.write( "Square both sides\r\n" );
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document.write( "        ()² = 2²\r\n" );
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document.write( "         x = 4\r\n" );
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document.write( "We must always check for extraneous (false) solutions\r\n" );
document.write( "because squaring both sides often introduces them.\r\n" );
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document.write( " +  = 3\r\n" );
document.write( " +  = 3\r\n" );
document.write( "       2 +  = 3\r\n" );
document.write( "         2 + 1 = 3\r\n" );
document.write( "             3 = 3\r\n" );
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document.write( "So x = 4 is the solution.\r\n" );
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document.write( "Edwin

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