document.write( "Question 202898This question is from textbook college algebra
\n" ); document.write( ": I need help with: (-3 - radical -7)^2 \n" ); document.write( "

Algebra.Com's Answer #153076 by jsmallt9(3758) $\"\"$ $\"About$

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It is difficult to know how to interpret \"(-3 - radical -7)^2\". If it does not mean $\"%28-3+-+sqrt%28-7%29%29%5E2\"$ then please repost the question, using parentheses to make clear what you are try to say.

\n" ); document.write( "If the problem is $\"%28-3+-+sqrt%28-7%29%29%5E2\"$ then you must know about Imaginary numbers because if we are limited to Real numbers, we cannot allow $\"sqrt%28-7%29\"$ .

\n" ); document.write( "If $\"%28-3+-+sqrt%28-7%29%29%5E2\"$ means $\"%28-3+-+sqrt%28-7%29%29%2A%28-3+-+sqrt%28-7%29%29\"$ . If we multiply this out we get:
\n" ); document.write( " $\"%28-3%29%5E2+-2%2A%28-3%29%2Asqrt%28-7%29+%2B+%28sqrt%28-7%29%29%5E2\"$
\n" ); document.write( "This simplifies to:
\n" ); document.write( " $\"9+-+6sqrt%28-7%29+%2B+%28-7%29\"$
\n" ); document.write( "and then
\n" ); document.write( " $\"-1+%2B+%28-6sqrt%28-7%29%29\"$
\n" ); document.write( "which is a complex number (a number with a Real part (-1) and an Imaginary part $\"-6sqrt%28-7%29\"$ . We usually write Imaginary numbers interms of \"i\" which stands for $\"sqrt%28-1%29\"$ . So we will take $\"-6sqrt%28-7%29\"$ and factor out \"i\":
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