document.write( "Question 1142923: determine if true, sometimes true or never true?\r
\n" ); document.write( "\n" ); document.write( "a) if A is a real # then the square root of A represents a real #\r
\n" ); document.write( "\n" ); document.write( "b) the conjugate of the square root of A + the square root if B is found by replacing B with its opposite\r
\n" ); document.write( "\n" ); document.write( "c) if x<0 then the square root of X to the 2nd power = -x\r
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Algebra.Com's Answer #763656 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "(a)  sometimes.   (it is TRUE for non-negative real numbers and is FALSE for all negative real numbers)\r\n" );
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document.write( "(b)  sometimes.   (It is true for B= 0 and is FALSE for all other cases)\r\n" );
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document.write( "(c)  In the frame of the middle school Math curriculum, it is always true.\r\n" );
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document.write( "     In real Math (high school Math curriculum and the University/College Math level), the square root of a number \r\n" );
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document.write( "     is NOT a NUMBER at all (!) : it is the set of two opposite numbers.\r\n" );
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