document.write( "Question 625623: Simplify the following; express in terms of i\r
\n" ); document.write( "\n" ); document.write( "sqrt -54 \r
\n" ); document.write( "\n" ); document.write( "I got sqrt-54= 7.34846923i\r
\n" ); document.write( "\n" ); document.write( "am I doing something wrong? \n" ); document.write( "

Algebra.Com's Answer #393656 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+i+=+sqrt%28-1%29+\"$
\n" ); document.write( " $\"+sqrt%28-54%29+=+sqrt%28-1%29%2Asqrt%2854%29+\"$
\n" ); document.write( " $\"+sqrt%28-54%29+=+sqrt%28-1%29%2Asqrt%289%29%2Asqrt%286%29+\"$
\n" ); document.write( " $\"+sqrt%28-54%29+=+3%2Asqrt%286%29%2Ai+\"$
\n" ); document.write( "and also
\n" ); document.write( " $\"+sqrt%28-54%29+=+-3%2Asqrt%286%29%2Ai+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "To check, square both sides:
\n" ); document.write( " $\"+%28sqrt%28-54%29%29%5E2+=+%283%2Asqrt%286%29%2Ai%29%5E2+\"$
\n" ); document.write( " $\"+-54+=+3%5E2%2A%28sqrt%286%29%29%5E2%2Ai%5E2+\"$
\n" ); document.write( " $\"+-54+=+9%2A6%2A%28-1%29+\"$
\n" ); document.write( " $\"+-54+=+-54+\"$
\n" ); document.write( "OK
\n" ); document.write( " $\"+%28sqrt%28-54%29%29%5E2+=+%28-3%2Asqrt%286%29%2Ai%29%5E2+\"$
\n" ); document.write( " $\"+-54+=+%28-3%29%5E2%2A%28sqrt%286%29%29%5E2%2Ai%5E2+\"$
\n" ); document.write( " $\"+-54+=+9%2A6%2A%28-1%29+\"$
\n" ); document.write( " $\"+-54+=+-54+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );