Question 1012202
This is asking you to compute {{{sqrt(-100)}}}, which is equivalent to finding the solution to{{{x^2+100}}}, which is done by computing the first equation above. We can break it apart into factors.
{{{sqrt(-100)=sqrt(-1*10^2)}}}
{{{sqrt(-1*10^2)=sqrt(-1)*sqrt(10^2)}}}
Remember {{{i=sqrt(-1)}}}.
{{{sqrt(-1)*sqrt(10^2)=i*sqrt(10^2)}}}, but do not forget that there is also a negative square root-your question asked to find ALL square roots, so we also include {{{sqrt(-1)*sqrt(10^2)=-i*sqrt(10^2)}}}.
{{{i*sqrt(10^2)=10i}}}
{{{-1*sqrt(10^2)=-10i}}}