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If we are simplifying to real numbers, why is it that we are able to simplify this expression: 

but not this expression: √-64

 Aug 29, 2018
 #1
avatar+356 
+2

You cannot simplify a negative number, because no two same numbers with any positivity have a product that is negative. \(\sqrt{-64} = 8i\)\(i\) stands for an imaginary number. 

 

- Daisy

 Aug 29, 2018

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