1.

ample 6 Express the following in the form a + ib5+v2i(1)(ii) i-35

Answer»

(1) 5 + root(2)i/1 - root(2)i

= (5 + root(2)i)(1 + root(2)i)/ (1)^2 - (root(2)i)^2

= 5 + 6root(2)i - 2/ 1 + 2

= 5 + 6root(2)i/3

= 5/3 + 2root(2)i

(2) i^-35=i^-34-1=(i^2)^-17×(i^-1)=(-1)^-17*(1/i)=1/(-1)^17*(1/i)=(-1)(1/i)=-1/i=0+i(-1/i^2)=0+i(-1/-1)=0+i.1where a=0, b=1



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