Find the multiplicative inverse of each of the following:
(2 + 5i)
Given: 2 + 5i
To find: Multiplicative inverse
We know that,
Multiplicative Inverse of z = z-1
Putting z = 2 + 5i
Now, rationalizing by multiply and divide by the conjugate of (2+5i)
Using (a – b)(a + b) = (a2 – b2)
[∵ i2 = -1]
Hence, Multiplicative Inverse of (2+5i)is