Multiply the following and write the answer in standard form.
$(2 - \sqrt{- 100}) \times (1 + \sqrt{- 36})$

62 + 2 i

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6 i

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16 + 3 i

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none of these

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Solution

The correct option is B $62 + 2 i$
$(2 - \sqrt{- 100}) \times (1 + \sqrt{- 36}) = (2 - i 10) \times (1 + 6 i) {i^{2} = - 1} = 2 + 12 i - 10 i - 60 i^{2} {i^{2} = - 1} = 62 + 2 i$

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