 # Is 3+\sqrt{5} a complex number? 2022-01-17 Answered
Is $3+\sqrt{5}$ a complex number?
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Step 1
Any number which can be expressed in the form of a+ib where a and b are real numbers and
$i=\sqrt{-1}$
is called a complex number.
$3+\sqrt{5}=\left(3+\sqrt{5}\right)+i\left(0\right)$
$\therefore 3+\sqrt{5}$
is a complex number with real part
$3+\sqrt{5}$
and imaginary part 0.

###### Not exactly what you’re looking for? star233

Step 1
Complex number is a number of form a+ib where ‘a’ and ‘b’ are real numbers and
$i=\sqrt{-1}\phantom{\rule{0ex}{0ex}}3+\sqrt{5}$
can also be written as
$\left(3+\sqrt{5}\right)+i\left(0\right)$
Hence it is also a complex number which is purely real.

###### Not exactly what you’re looking for? alenahelenash
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.