Question 667803
{{{sqrt (1-2* sqrt( 2i))}}}


{{{sqrt(1-2* sqrt( 2i))}}}...........since {{{sqrt( i)=(-1)^(1/4)=root(4,-1)}}}, we have


{{{sqrt (1-2*root(4,-1) sqrt( 2))}}}


{{{sqrt (1-2*root(4,-1) sqrt( 2))}}}..........since {{{root(4,-1)=(1+i)/sqrt(2)}}}, we have


{{{sqrt (1-2*((1+i)/sqrt(2)) sqrt( 2))}}}


{{{sqrt (1-2*((1+i)/cross(sqrt(2))) cross(sqrt( 2)))}}}


{{{sqrt (1-2*(1+i))}}}


{{{sqrt (1-2+2i)}}}


{{{sqrt (-1+2i)}}}


{{{0.786151377757-1.2720196495*i}}}