Question

Express (5 + 2i) \div (1 - \sqrt{2i)}
in a+ib​

Answer 1

`1 + 2√(2i)`

Explanation:

The expression is presented below:

`= ((5 + \sqrt2i) )/((1 - √(2i)))\\\\= ((5 + \sqrt2i) )/((1 - √(2i))) * (1 + √(2i)))/(1 + √(2i)))\\\\= (5 + 5√(2i) + √(2i) - 2 )/(1 + 2) \\\\= (3 + 6√(2i) )/(3)\\\\= (3(1 + 2√(2i)) )/(3) \\\\= 1 + 2√(2i)`

The above represents an expression