Question 1030250
{{{sqrt(24+8sqrt(5))}}}

{{{sqrt(4+8sqrt(5)+20)}}}


{{{sqrt(4+8sqrt(5)+(2sqrt(5))^2)}}}

{{{(a+b)^2 = a^2+2ab+b^2}}} using this identity

we get

{{{sqrt((2+2sqrt(5))^2)}}}


{{{2+2sqrt(5)}}}