Question

3-root-4/2+root-1 Expess in the form of A+iB

Answer 1

$\frac{3 - \sqrt{ - 4} }{2 + \sqrt{ - 1} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \frac{3 - \sqrt{ - 4} }{2 + \sqrt{ - 1} } \times \frac{2 - \sqrt{ - 1} }{2 - \sqrt{ - 1} } \\ = > \frac{(3 - \sqrt{ - 4}) (2 - \sqrt{ -1 } )}{ {2 }^{2} - { \sqrt{ - 1} }^{2} } \\ = > \frac{6 - 3i - 2i \sqrt{4} + {i}^{2} \sqrt{4 } \times \sqrt{1} }{3 } \\ = > \frac{6 - 2 - i(3 + 2 \sqrt{4} )}{3} \\ = > \frac{4 - i(3 + 2 \times 2) }{3} \\ = > \frac{4}{3} - i \frac{7}{3}$