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Question

If (x+iy)1/3=a+ib,, then xa+yb=

A
4(a2b2)
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B
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C
1
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D
none of these
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Solution

The correct option is A 4(a2b2)
(x+iy)1/3=a+ib
x+iy=(a+ib)3
=a3ib3+i.3a2b3ab2
=a33ab2+i(3a2bb3)
x=a33ab2;y=3a2bb3
xa=a23b2;yb=3a2b2
xa+yb=4(a2b2)
Hence, the answer is 4(a2b2).


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