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Find the value of -3×-6. - Mathematics and Statistics

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Question

Find the value of `sqrt(-3) xx sqrt(-6)`.

Sum

Solution

`sqrt(-3) xx sqrt(-6) = sqrt(3) xx sqrt(-1) + sqrt(6) xx sqrt(-1)`
= `sqrt(3)"i" xx sqrt(6)"i"`
= `sqrt(18)"i"^2`
= `-3sqrt(2)`      ...[∵ i2 = – 1]

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Square Root of a Complex Number
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Chapter 3: Complex Numbers - MISCELLANEOUS EXERCISE - 3 [Page 42]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 3 Complex Numbers
MISCELLANEOUS EXERCISE - 3 | Q 2) | Page 42
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