## Excel in math and science

### Master concepts by solving fun, challenging problems.

## It’s hard to learn from lectures and videos

### Learn more effectively through short, conceptual quizzes.

## Our wiki is made for math and science

###
Master advanced concepts through explanations,

examples, and problems from the community.

## Used and loved by 4 million people

###
Learn from a vibrant community of students and enthusiasts,

including olympiad champions, researchers, and professionals.

## Comments

Sort by:

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 \(b = 2xy\) – Snehdeep Arora · 3 years, 4 months ago

Log in to reply

Convert your complex number into polar form, and remember that \( \sqrt{z} = z^{\frac{1}{2}} \) – Ryan Carson · 3 years, 4 months ago

Log in to reply

find sq. root of complex no.z=1-i – Abhimanyu Manu · 3 years, 4 months ago

Log in to reply

– Michael Tang · 3 years, 4 months ago

The question is ambiguous. Which square root should we give?Log in to reply

– Tilak Patel · 3 years, 4 months ago

use De Moivre's theoremLog in to reply