Gamma Question Bank for Engineering Mathematics>Chapter 5 - Complex Numbers>Assignment>Q 32

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Find the square root of the complex number $2 + 3 i$ .

Important Questions on Complex Numbers

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Gamma Question Bank for Engineering Mathematics>Chapter 5 - Complex Numbers>Assignment>Q 1

If

z = \frac{1 + i}{\sqrt{2}}

, then the value of

z^{1929}

is

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Gamma Question Bank for Engineering Mathematics>Chapter 5 - Complex Numbers>Assignment>Q 2

If the multiplicative inverse of a complex number is

\frac{\sqrt{2} + 5 i}{17}

, then the complex number is

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Gamma Question Bank for Engineering Mathematics>Chapter 5 - Complex Numbers>Assignment>Q 3

The additive inverse of

5 + 7 i

is

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Gamma Question Bank for Engineering Mathematics>Chapter 5 - Complex Numbers>Assignment>Q 4

The complex number

\frac{1 + 2 i}{1 - i}

lies in

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Gamma Question Bank for Engineering Mathematics>Chapter 5 - Complex Numbers>Assignment>Q 5

If

{(\frac{1 + i}{1 - i})}^{3} - {(\frac{1 - i}{1 + i})}^{3} = a + i b

, then values of

a

and

b

respectively are

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Gamma Question Bank for Engineering Mathematics>Chapter 5 - Complex Numbers>Assignment>Q 6

{[i^{17} + \frac{1}{i^{315}}]}^{9}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 5 - Complex Numbers>Assignment>Q 7

\frac{(1 + i)^{3}}{2 + i}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 5 - Complex Numbers>Assignment>Q 8

(\frac{2}{1 - i} + \frac{3}{1 + i}) (\frac{2 + 3 i}{4 + 5 i})

is equal to