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Complex Numbers — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsComplex Numbers1 Mark
Question
Simplify:
4√-4 + 5√-9 – 3√-16
✓

Answer

$\begin{aligned} & 4 \sqrt{-4}+5 \sqrt{-9}-3 \sqrt{-16} \\ = & 4 \sqrt{4 \times-1}+5 \sqrt{9 \times-1}-3 \sqrt{16 \times-1} \\ = & 4(2 i)+5(3 i)-3(4 i) \\ = & 8 i+15 i-12 i\end{aligned}$

$=11 i$

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