document.write( "Question 303138: square root of (-4) x square root of (-4) \n" ); document.write( "
Algebra.Com's Answer #217305 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! square root of (-4) x square root of (-4)\r \n" ); document.write( "\n" ); document.write( "square root of -1 is i \n" ); document.write( "square root of 4 is +- 2 \n" ); document.write( "so square root of -4 is +- 2i \n" ); document.write( "3 possibilites: 1. take + root times + root and get - answer \n" ); document.write( " 2. - root times - root and get - answer (same answer as 1.) \n" ); document.write( " 3. + root times - root or vice versa and get + answer \n" ); document.write( "(the i^2 flips the sign) \n" ); document.write( "so 2 answers: 1. 2i * 2i = -2i * -2i = 4i^2 = 4 * -1 = -4 \n" ); document.write( " 2. 2i * -2i = -2i * 2i = -4i^2 = -4 * -1 = 4\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |