Question

Express 5+√2i/5-√2i in the form of a+ ib

Answer 1

Step-by-step explanation:

(5+√2i)/(5-√2i)

(5+√2i)/(5-√2i)×5+√2i/5+√2i

(5+√2i)^2/5^2-(√2i)^2=25+2i^2+10√2i/25-2i^2

=25-2+10√2i/25+2

=23+10√2i/27

Answer 2

Answer:

$23/27 + 10\sqrt{2}i/27$

Step-by-step explanation:

$5 + \sqrt{2}i /5 -\sqrt{2}i\\5 + \sqrt{2}i /5 -\sqrt{2}i = 5 + \sqrt{2}i /5 +\sqrt{2}i\\25 + 5\sqrt{2}i + 5\sqrt{2}i + 2i^{2}/25 + 2\\25 + 10\sqrt{2}i - 2/27\\23 + 10\sqrt{2}i/27\\5 + \sqrt{2}i /5 - \sqrt{2}i = 23/27 + 10\sqrt{2}i/27$

HOPE IT HELPS YOU....