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Question

Find the modulus of 1i5i3.

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Solution

Now,
1i5i3
=(1i)(5+i3)(5)2+(3)2
=(5+3)+i(35)8.
Now the modulus of the given complex number is
18(5+3)2+(35)2
182{(5)2+(3)2}
=18×16
=12

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