2022-01-17
Answered

Is $3+\sqrt{5}$ a complex number?

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nick1337

Answered 2022-01-17
Author has **510** answers

Step 1

Any number which can be expressed in the form of a+ib where a and b are real numbers and

is called a complex number.

is a complex number with real part

and imaginary part 0.

star233

Answered 2022-01-17
Author has **137** answers

Step 1

Complex number is a number of form a+ib where ‘a’ and ‘b’ are real numbers and

can also be written as

Hence it is also a complex number which is purely real.

alenahelenash

Answered 2022-01-24
Author has **343** answers

Yes, all real numbers are also complex numbers, with an imaginary part of zero.
$3+\sqrt{5}$
is also an irrational number, since $\sqrt{5}$ is irrational.

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Given $f\left(z\right)=\frac{1}{{z}^{2}(1-z)}$ I am to find two Laurent series expansions. There are two singularities, z=0 and z=1. So for the first expansion, I used the region 0<|z|<1 and I got $\sum _{n=0}^{\mathrm{\infty}}{z}^{n}+\frac{1}{z}+\frac{1}{{z}^{2}}$ . The second expansion is for the region $1<\left|z\right|<\mathrm{\infty}$ . I don't know how to approach this, the explanation in my book is confusing. Any help?

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a)

b)

c)

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I am stuck on this problem, any hint?

I am stuck on this problem, any hint?