−8+3i 5‾√ 48

need answer simplified

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Is this question true. Because I am confused about ‾√ 48. Is it minus(-)?

Please correct it so that I can solve it

(-8-sqrt of -45)/48

Thanks dear

=(-8-√ -45)/48

=(-8/48) +[(-√ -45)/48]

=(-1/6) + [-(√ -1)(√ 45) /48]

As we know that i=√ -1 and √ 45=3√ 5

Now,

=-1/6 + [-i 3√ 5/48]

=-1/6 + [-i√ 5 / 16]

=-1/6 - (√ 5 i /16)

it was almost right, it states -1/6 - i (sqrt 5/16)

Yes it can also written as;

-1/6 - i √ 5 /16

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