Find the modulus of each of the following:

Question

Philoid · Accepted Answer

Given:

Firstly, we calculate and then find its modulus

[∵ i² = -1]

Now, we rationalize the above by multiplying and divide by the conjugate of 1 + i

…(i)

Now, we know that,

(a + b)(a – b) = (a² – b²)

So, eq. (i) become

[∵ i² = -1]

= 2 – i

Now, we have to find the modulus of (2 – i)

So,