document.write( "Question 244631: how do you find the square root. the equation looks something like this:3+(the square root of -3)......something like that.. \n" ); document.write( "

Algebra.Com's Answer #178865 by College Student(505) $\"\"$ $\"About$

You can put this solution on YOUR website!
1) We know that a square root of a number is the result of another number multiplied by itself.
\n" ); document.write( "2) We also know the multiplication of two positive or negative numbers would always result in a positive number.
\n" ); document.write( ".
\n" ); document.write( "Therefore, we can conclude that negative numbers do not have square roots.
\n" ); document.write( ".
\n" ); document.write( "However, in order to deal with problems including square roots of negative numbers,
\n" ); document.write( "Rafael Bombelli (back in 1572) invented the imaginary number we know today as \"i\".
\n" ); document.write( ".
\n" ); document.write( "\"i\" = $\"sqrt%28-1%29\"$
\n" ); document.write( ".
\n" ); document.write( "Suppose your problem would have been $\"x=sqrt%28-9%29\"$ ... since we know the square root of 9 is 3, we could've then say $\"x=3sqrt%28-1%29\"$ ...same as to say... $\"x=3i\"$
\n" ); document.write( "But in your problem, you may leave it as $\"x=sqrt%28-3%29\"$ or expand it to $\"sqrt%283%29%2Asqrt%28-1%29\"$ ...or... $\"sqrt%283%29%2Ai\"$
\n" ); document.write( ".
\n" ); document.write( "I hope this explanation helped. :) \n" ); document.write( "

\n" );