Question 1025230
<pre>
{{{(5+3i)/(5-3i)}}}{{{""*""}}}{{{red((5+3i)/(5+3i))}}}

{{{((5+3i)(5+3i))/((5-3i)(5+3i))}}}

{{{(25+15i+15i+9i^2)/(25+15i-15i-9i^2)}}}

{{{(25+30i+9i^2)/(25+cross(15i)-cross(15i)-9i^2)}}}

{{{(25+30i+9i^2)/(25-9i^2)}}}

Now realize that {{{i^2=-1}}} and substitute

{{{(25+30i+9(-1))/(25-9(-1))}}}

{{{(25+30i-9)/(25+9)}}}

{{{(16+30i)/34}}}

Make two fractions

{{{16/34+30i/34}}}

Reduce the fractions

{{{8/17+15i/17}}}

Write the i to the right of the fraction

{{{8/17+expr(15/17)i}}}

Edwin</pre>