Find the modulus of each of the following:

Question

Philoid · Accepted Answer

Given:

Firstly, we calculate and then find its modulus

[∵ (a + b)² = a² + b² + 2ab]

[∵ i² = -1]

Now, we rationalize the above by multiplying and divide by the conjugate of 4 + 3i

…(i)

Now, we know that,

(a + b)(a – b) = (a² – b²)

So, eq. (i) become

[∵ i² = -1]

Now, we have to find the modulus of

So,

Hence, the modulus of is