Question

find the multipaltive inverse of the complex number 1+i​

Answer 1

Step-by-step explanation:

1-i whole is divides by 2 is the answer

Answer 2

Answer:

Have a nice day...

Step-by-step explanation:

Here,

we have to find out the multiplicative inverse of the complex number 1+i

then,

Z=1+i is the given complex number.

so, the multiplicative inverse of the complex number is...

${z}^{ -1 } = \frac{1}{1 + i}$

$or \: {z}^{ - 1} = \frac{1}{1 + i} \times \frac{1 - i}{1 - i}$

$or \: {z}^{ - 1} = \frac{1 - i}{1 - {i}^{2} }$

$or \: {z}^{ - 1} = \frac{1 - i}{1 - ( - 1)}$

$or \: {z}^{ - 1} = \frac{1 - i}{2}$

$or \: {z}^{ - 1} = \frac{1}{2} - \frac{i}{2}$

so, this is the required answer..

thanks a lot...