Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{3\sqrt{-2}}{3\sqrt{-2}}\frac{+2(-5)}{-2\sqrt{-2}}; a+xi; a-xi$$

Answer

1*(-10)/(-2*sqrt(2)*IM);a+x*IM;a-x*IM

Solution


Simplify  \(\sqrt{-2}\)  to  \(\sqrt{2}\imath \).
\[\begin{aligned}&\frac{3\sqrt{2}\imath }{3\sqrt{2}\imath }\times \frac{2\times -5}{-2\sqrt{2}\imath }\\&a+x\imath \\&a-x\imath \end{aligned}\]
Simplify  \(2\times -5\)  to  \(-10\).
\[\begin{aligned}&\frac{3\sqrt{2}\imath }{3\sqrt{2}\imath }\times \frac{-10}{-2\sqrt{2}\imath }\\&a+x\imath \\&a-x\imath \end{aligned}\]
Cancel \(\imath \).
\[\begin{aligned}&1\times \frac{-10}{-2\sqrt{2}\imath }\\&a+x\imath \\&a-x\imath \end{aligned}\]
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