Question

write Multiplication inverse of (2+√3i) ²​

Answer 1

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2 \times a \times b$

${(2 + \sqrt{3)} }^{2} = {2}^{2} + { \sqrt{3} }^{2} + 2 \times 2 \times \sqrt{3}$

$4 + 3 + 4 \sqrt{3} = 7 + 4 \sqrt{3}$

$answer = \frac{1}{7 + 4 \sqrt{3} } \: \: answer$