Question

Rationalize the denominator:

Please give step by step solution

Answer 1

1 + i

Explanation:

To rationalize multiply numerator and denominator by (2 + i )

`(3+i)/(2-i)= (3+i)/(2-i) * (2+i)/(2+i) = ((3+i)(2+i))/((2-i)(2+i)) = (6+3i+2i-1)/(4-(-1)) = (5+5i)/(5) = 1 + i`