Simplify each of the following and express it in the form (a + ib): (i) (ii)

Question

Philoid · Accepted Answer

Given:

[Taking the LCM]

[putting i² = -1]

Now, rationalizing by multiply and divide by the conjugate of (13 – 13i)

[∵ (a – b)(a + b) = (a² – b²)]

[∵ i² = -1]

[taking 13 common]

(ii) Given:

[Taking the LCM]

Now, rationalizing by multiply and divide by the conjugate of (15 + 8i)

[∵ (a – b)(a + b) = (a² – b²)]

[∵ i² = -1]