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ID#3926 BCS General Math Preli (41)

$\sqrt{-8} \times \sqrt{-2} = $ কত?
ক) 4
খ) 4i
গ) -4i
ঘ) -4

ব্যাখ্যা

প্রদত্ত রাশি: $\sqrt{-8} \times \sqrt{-2}$

আমরা জানি, $\sqrt{-1} = i$ এবং $i^2 = -1$

ধাপ ১:
$\sqrt{-8} = \sqrt{8} \times \sqrt{-1} = 2\sqrt{2}i$
$\sqrt{-2} = \sqrt{2} \times \sqrt{-1} = \sqrt{2}i$

ধাপ ২:
$(2\sqrt{2}i) \times (\sqrt{2}i)$
$= 2 \times (\sqrt{2} \times \sqrt{2}) \times i^2$
$= 2 \times 2 \times (-1)$
$= 4 \times (-1)$
$= -4$

উত্তর: -4
Resource Details
Exam BCS
Subject General Math
Chapter 17
Year 41

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