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 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]





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