Q. 44.6( 5 Votes )

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

(i)

(ii)

Answer :

Given:

[Taking the LCM]

[putting i^{2} = -1]

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

[∵ (a – b)(a + b) = (a^{2} – b^{2})]

[∵ i^{2} = -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) = (a^{2} – b^{2})]

[∵ i^{2} = -1]

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