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The Value of ( 1 + I ) ( 1 + I 2 ) ( 1 + I 3 ) ( 1 + I 4 ) Is.

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प्रश्न

The value of \[(1 + i)(1 + i^2 )(1 + i^3 )(1 + i^4 )\] is.

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उत्तर

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(1+ i) (1 + i2) (1 + i3) (1 + i4)
= (1+ i) (1\[-\]1) (1 \[-\]i) (1 + 1) (\[\because\]i2  =\[-\] 1,  i3 =\[-\] i and i4  = 1)

= (1 + i) (0) (1\[-\]i) (2)= 0

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अध्याय 13: Complex Numbers - Exercise 13.6 [पृष्ठ ६३]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 13 Complex Numbers
Exercise 13.6 | Q 1 | पृष्ठ ६३

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