document.write( "Question 762669: I need your help on solving this, \"Express sqrt -40 in terms of i. \n" ); document.write( "

Algebra.Com's Answer #464135 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+sqrt%28+-40+%29+\"$
\n" ); document.write( "When you have a minus inside the square root,
\n" ); document.write( "you have to split it up into 2 factors:
\n" ); document.write( " $\"+sqrt%28-1%29%2Asqrt%2840%29+\"$
\n" ); document.write( "Then you use the definition:
\n" ); document.write( " $\"+sqrt%28-1%29+=+i+\"$
\n" ); document.write( "So you have:
\n" ); document.write( " $\"+sqrt%2840%29%2Ai+\"$
\n" ); document.write( "Now do another factoring:
\n" ); document.write( " $\"+sqrt%284%29%2Asqrt%2810%29%2Ai+\"$
\n" ); document.write( " $\"+2%2Asqrt%2810%29%2Ai+\"$
\n" ); document.write( " \n" ); document.write( "

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