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avatar+1847 

Fill in the blanks with real numbers

(sqrt(3) + i)*6i = ___ + ___i

 Nov 8, 2023
 #1
avatar+8 
+1

If we put this in the form a+bi 

We first start by doing \(\sqrt{3}*\sqrt{-6}=\sqrt{3}*\sqrt{3}*\sqrt{-2}\) so this would result in the answer being \(3\sqrt{-2} \) or \(3\sqrt{2}i\) so 

B= \(3\sqrt{2}i\)

 

So then solving for 6i*i then we know that \({i}^{2}\) is equal to -1 so we know that -6.

 

This means that it would be -6+ \(3\sqrt{2}i\)

 Nov 8, 2023

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