Question

if a=1+i then a2 is equal
​

Answer 1

Step-by-step explanation:

a=1+I

2a=2(1+I)

2a=2+2i

And if it is a square then

a = 1+I

a^2= (1+i)^2

a^2= 1^2+ 2×i×1+i^2. [ since. (a+b) ^2=a^2+2ab +b^2]

a^2=1+2i+i^2

Answer 2

Correct question: if $a = 1 + i$ then $a^2$ is equal to ____. (Fill in the blank)

Answer:

$a^2$ is equal to $2i$.

Given,

The value of a: $a = 1 + i$.

To Find,

The value of $a^2$.

Solution,

The method of finding the value of $a^2$ is as follows -

It is given that $a = 1 + i$, where $i=\sqrt{-1}$.

So, $i^2=(\sqrt{-1} )^2=-1$.

Now we will compute the value of $a^2$.

$a^2=(1+i)^2=1^2+i^2+2*1*i$ [ applying the formula $(a+b)^2=a^2+b^2+2ab$]

$=1-1+2i$ [ since $i^2=-1$ ]

$=2i$

Hence, $a^2$ is equal to $2i$.

#SPJ3