## Excel in math and science

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestif you are asking about the square root of a complex number in standard form ie \(a+ib\) the method is simple.

Let \(\sqrt{a+ib} = x+iy \Rightarrow a+ib = (x+iy)^{2}\)

simplifying we get \(a+ib = x^{2}-y^{2}+2xyi \Rightarrow a = x^{2}-y^{2}\) and \(b = 2xy\)

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Convert your complex number into polar form, and remember that \( \sqrt{z} = z^{\frac{1}{2}} \)

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find sq. root of complex no.z=1-i

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The question is ambiguous. Which square root should we give?

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use De Moivre's theorem

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