document.write( "Question 221155: I have an equation (2x^2)-7=0. The answer I have been given is the square root of 14 over 2. I'm unsure why. Could you walk me through the steps please? \n" ); document.write( "
Algebra.Com's Answer #165960 by MathTherapy(10557)\"\" \"About 
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I have an equation (2x^2)-7=0. The answer I have been given is the square root of 14 over 2. I'm unsure why. Could you walk me through the steps please?\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2+-+7+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2+=+7\" ------- Adding 7 to both sides of equation\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%5E2%29%2F2+=+7%2F2\" ------- Dividing both sides of equation by 2\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+=+7%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28x%5E2%29+=+sqrt%287%2F2%29\" ----- \"x%5E2+=+sqrt%287%29%2Fsqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "This could be the answer, but since you have a different answer, it's quite obvious that they want you to RATIONALIZE the denominator (not leaving the denominator with a square root value).\r
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\n" ); document.write( "\n" ); document.write( "So, \"x%5E2+=+sqrt%287%29%2Fsqrt%282%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+=+%28sqrt%287%29%2Asqrt%282%29%29%2F%28sqrt%282%29%2Asqrt%282%29%29\" ------ Rationalizing denominator\r
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\n" ); document.write( "\n" ); document.write( "Therefore, we get: \"x%5E2+=+sqrt%287%2A2%29%2F2\", or: \"highlight_green%28sqrt%2814%29%2F2%29\"\r
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