document.write( "Question 344400: - root -25 \n" ); document.write( "

Algebra.Com's Answer #246499 by jsmallt9(3758) $\"\"$ $\"About$

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$\"-sqrt%28-25%29\"$
\n" ); document.write( "First we factor the radicand (the -25):
\n" ); document.write( " $\"-sqrt%2825%2A%28-1%29%29\"$
\n" ); document.write( "The we'll use a property of radicals: $\"sqrt%28a%2Ab%29+=+sqrt%28a%29%2Asqrt%28b%29\"$ to separate the factors into their own square roots:
\n" ); document.write( " $\"-%28sqrt%2825%29%2Asqrt%28%28-1%29%29%29\"$
\n" ); document.write( "Since $\"sqrt%2825%29+=+5\"$ and $\"sqrt%28-1%29+=+i\"$ :
\n" ); document.write( " $\"-%285%2Ai%29\"$
\n" ); document.write( "or -5i\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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