document.write( "Question 963738: Sqrt of -15 times the sqrt of -5 \n" ); document.write( "
Algebra.Com's Answer #854552 by ikleyn(53891)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Sqrt of -15 times the sqrt of -5
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The \"solution\" in the post by @lwsshak3 is incorrect and makes no sense.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A correct answer is as follows:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        - in real numbers, \"sqrt%28-15%29\" and \"sqrt%28-5%29\" are not defined, so it makes no sense (prohibited) to manipulate with them.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        - in complex numbers, square root always has two values for a non-zero argument.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, when somebody asks what is \"sqrt%28-15%29%2Asqrt%28-5%29\", he/she should determine/define first,
\n" ); document.write( "which of two possible values for each \"sqrt%28-15%29\" and \"sqrt%28-5%29\" does he/she means.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Only after that the answer can be done.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );