document.write( "Question 150807: Please help with this problem.
\n" ); document.write( "Z=sqrt((1000^2)+(1592^2))
\n" ); document.write( "It is my understanding that the square root of a \"number\" squared is the \"number\".
\n" ); document.write( "If this is true I would solve this as: Z=1000+1592 so Z=2592, but Im not sure this is correct \n" ); document.write( "

Algebra.Com's Answer #110734 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help with this problem.
\n" ); document.write( "Z=sqrt((1000^2)+(1592^2))
\n" ); document.write( "It is my understanding that the square root of a \"number\" squared is the \"number\".
\n" ); document.write( "If this is true I would solve this as: Z=1000+1592 so Z=2592, but Im not sure this is correct
\n" ); document.write( "

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document.write( "This is a very common error in mathematics. \r\n" );
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document.write( "Notice that when there is only MULTIPLICATION under the radical,\r\n" );
document.write( "what you did would have been correct: \r\n" );
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document.write( " is TRUE because\r\n" );
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document.write( "However, when there is ADDITION or SUBTRACTION \r\n" );
document.write( "under the radical, that does NOT WORK:  \r\n" );
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document.write( " is FALSE because\r\n" );
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document.write( "            \r\n" );
document.write( "So what you did won't work because of the PLUS SIGN \r\n" );
document.write( "under the radical.  If they had been MULTIPLIED under \r\n" );
document.write( "the radical, then you could have.\r\n" );
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document.write( "If the problem had been this   then the\r\n" );
document.write( "answer would have been  and then \r\n" );
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document.write( "However there was ADDITION under the radical, so you cannot\r\n" );
document.write( "take individual square roots.  All you can do is do whatever \r\n" );
document.write( "you can under the radical FIRST.\r\n" );
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document.write( "That's the simplest radical form.\r\n" );
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document.write( "The approximate decimal value is\r\n" );
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document.write( "Notice that \r\n" );
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document.write( "Howver,\r\n" );
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document.write( "Math rules that work when things are MULTIPLIED or \r\n" );
document.write( "DIVIDED will NEVER work for things ADDED or \r\n" );
document.write( "SUBTRACTED.\r\n" );
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document.write( "and likewise:\r\n" );
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document.write( "Math rules that work for things ADDED or SUBTRACTED \r\n" );
document.write( "will NEVER work for things MULTIPLIED or DIVIDED.\r\n" );
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document.write( "Edwin

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