document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=27616>Question 27616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is the square root of plus or minus 5 (where the plus and minus are in front of the square root sign) the same thing as 5i and -5i ?\r<BR>\n" );
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document.write( "If not what does 5i and -5i really mean? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15047 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is the square root of plus or minus 5 (where the plus and minus are in front of the square root sign) the same thing as 5i and -5i ?\r<BR>\n" );
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document.write( "YOU TRY TO UNDERSTAND AND REMEMBER THE FOLLOWING WAY <BR>\n" );
document.write( "SQUARE ROOT OF ANY POSITIVE NUMBER IS SAME AS YOU KNOW ALREADY...<BR>\n" );
document.write( "SAY SQRT.4= +2 OR - 2<BR>\n" );
document.write( "SQRT.5 = +SQRT.5 OR -SQRT.5..<BR>\n" );
document.write( "NOW COMING TO NEGATIVE NUMBERS ANY NEGATIVE NUMBER CAN BE TAKEN AS -1*THE POSITIVE NUMBER..SAY -4 = (-1)*(4)...OR...-5 = (-1)*(5) ...ETC....<BR>\n" );
document.write( "SO WHEN WE WANT TO TAKE SQUARE ROOT OF NEGATIVE NUMBER WE CAN SPLIT IT INTO 2 PARTS AS ABOVE ..SQUARE ROOT OF POSITIVE PART , YOU ALREADY KNOW AS MENTIONED ABOVE.THERE IS ACTUALLY NO REAL NUMBER EXISTING WHICH IS SQUARE ROOT OF -1.SO WE IMAGINE IT IS \"I\"..IT IS PURELY IMAGINARY..IT DOES NOT EXIST..WE JUST TAKE IT THAT SQUARE ROOT OF -1 IS \"I\".HENCE SQUARE ROOT OF ANY NEGATIVE NUMBER IS <BR>\n" );
document.write( "I*SQUARE ROOT OF THE POSITIVE PART THAT IS <BR>\n" );
document.write( "SQUARE ROOT OF A NEGATIVE NUMBER SAY -5 =SQUARE ROOT OF (-1)*(5)<BR>\n" );
document.write( "=SQUARE ROOT OF (-1)*SQUARE ROOT OF (5)=I*SQUARE ROOT OF(5)<BR>\n" );
document.write( "SO <BR>\n" );
document.write( "SQUARE ROOT OF (-5)= I*{SQUARE ROOT OF(5)} OR I*{-SQUARE ROOT OF(5)}<BR>\n" );
document.write( "AND NOT REPEAT NOT =I*5..OR I*(-5)..<BR>\n" );
document.write( "5I OR -5I IS THE SQUARE ROOT OF -25.<BR>\n" );
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