document.write( "Question 819959: (3- square root of -50)/15 \n" ); document.write( "

Algebra.Com's Answer #493327 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%283-+sqrt%28-50%29%29%2F15\"$
\n" ); document.write( "As always, first deal with the \"-\" in the square root:
\n" ); document.write( " $\"%283-+sqrt%28-1%2A50%29%29%2F15\"$
\n" ); document.write( " $\"%283-+sqrt%28-1%29%2Asqrt%2850%29%29%2F15\"$
\n" ); document.write( " $\"%283-+i%2Asqrt%2850%29%29%2F15\"$
\n" ); document.write( "Then simplify:
\n" ); document.write( " $\"%283-+i%2Asqrt%2825%2A2%29%29%2F15\"$
\n" ); document.write( " $\"%283-+i%2Asqrt%2825%29%2Asqrt%282%29%29%2F15\"$
\n" ); document.write( " $\"%283-+i%2A5%2Asqrt%282%29%29%2F15\"$
\n" ); document.write( "or
\n" ); document.write( " $\"%283-+5i%2Asqrt%282%29%29%2F15\"$
\n" ); document.write( "This maybe an acceptable answer.

\n" ); document.write( "But we may want it in standard a + bi form. First we'll write the subtraction as an addition:
\n" ); document.write( " $\"%283%2B+%28-5i%2Asqrt%282%29%29%29%2F15\"$
\n" ); document.write( "Split the fraction into two fractions:
\n" ); document.write( " $\"3%2F15%2B+%28-5i%2Asqrt%282%29%29%2F15\"$
\n" ); document.write( "Reducing the fractions:
\n" ); document.write( " $\"1%2F5%2B+%28-i%2Asqrt%282%29%29%2F3\"$
\n" ); document.write( "Factor out the \"i\":
\n" ); document.write( " $\"1%2F5%2B+%28sqrt%282%29%2F3%29i\"$ \n" ); document.write( "

\n" );