Question 882230
{{{(sqrt(2) + sqrt(2)i)^5}}}
--
= {{{(sqrt(2))^5*(1 + i)^5}}}
= {{{sqrt(32)*(1 + i)^5}}}
You can multiply it, or.
= {{{sqrt(32)cis(45*5)}}}
= {{{sqrt(32)cis(225)}}}
= {{{4sqrt(2)(-sqrt(2)/2) + i*4sqrt(2)*(-sqrt(2)/2)}}}
= -4 - 4i