Question

Rationalize the denominator of sqrt(-49)/(7-2i)-(4+9i)

-49+2i/-40

49+21i/58

77+21i/-2

-77++21i/130


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Answer 1

\[\frac{ \sqrt{-49} }{ (7-2 i)-\left( 4+9\iota \right) }=\frac{ \sqrt{49 \iota ^{2}} }{(7-2\iota)-\left( 4+9\iota \right) }\]
\[=\frac{ 7\iota }{ 7-2\iota-4-9\iota }=\frac{ 7\iota }{ 3-11\iota }*\frac{ 3+11\iota }{ 3+11\iota }\]
solve it and get the answer.