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Complex Numbers — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsComplex Numbers1 Mark
Question
Simplify:$\sqrt{-16}+3 \sqrt{-25}+\sqrt{-36}-\sqrt{-625}$
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Answer

$\sqrt{-16}+3 \sqrt{-25}+\sqrt{-36}-\sqrt{-625}$
$=\sqrt{16 \times-1}+3 \sqrt{25 \times-1}+\sqrt{36 \times-1}-\sqrt{625 \times-1}$
$= 4i + 3(5i) + 6i – 25i = 25i – 25i = 0$

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