document.write( "Question 186820: what is (x^1/2 -1/4x^-1/2 ) ^2.... \n" ); document.write( "
Algebra.Com's Answer #140037 by jim_thompson5910(35256)\"\" \"About 
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\"%28x%5E%281%2F2%29+-%281%2F4%29x%5E%28-1%2F2%29+%29+%5E2\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E%281%2F2%29+-%281%2F4%29%2F%28x%5E%281%2F2%29%29+%29+%5E2\" Rewrite \"x%5E%28-1%2F2%29\" as \"1%2Fx%5E%281%2F2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28sqrt%28x%29+-%281%2F4%29%2F%28sqrt%28x%29%29%29+%29+%5E2\" Convert to radical notation\r
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\n" ); document.write( "\n" ); document.write( "\"%28sqrt%28x%29+-+1%2F%284%2Asqrt%28x%29%29+%29+%5E2\" Multiply and simplify\r
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\n" ); document.write( "\n" ); document.write( " FOIL\r
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\n" ); document.write( "\n" ); document.write( " Multiply\r
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\n" ); document.write( "\n" ); document.write( " Square the square roots to eliminate them\r
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\n" ); document.write( "\n" ); document.write( "\"x-1%2F4-1%2F4%2B1%2F%2816x%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"x-1%2F2%2B1%2F%2816x%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%5E%281%2F2%29+-%281%2F4%29x%5E%28-1%2F2%29+%29%5E2=x-1%2F2%2B1%2F%2816x%29\"
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