−8+3i 5‾√ 48 solve alg

Algebra
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−8+3i 5‾√ 48

need answer simplified

Jun 2nd, 2015

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Jun 2nd, 2015

−8+3i 5‾√ 48

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

Please correct it so that I can solve it



Jun 2nd, 2015

(-8-sqrt of -45)/48

Jun 2nd, 2015

Thanks dear

Jun 2nd, 2015

=(-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)

Jun 2nd, 2015

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

Jun 2nd, 2015

Yes it can also written as;

-1/6 - i √ 5 /16

Jun 2nd, 2015

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