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

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Question

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

Sum
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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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Chapter 3: Complex Numbers - MISCELLANEOUS EXERCISE - 3 [Page 42]

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