<PRE><B>Question 1151253</B>
{{{sqrt(5+sqrt(5^2+sqrt(5^4+sqrt(5^8))))}}}


{{{sqrt(5+sqrt(5^2+sqrt(5^4+sqrt((5^4)^2))))}}}


{{{sqrt(5+sqrt(5^2+sqrt(5^4+5^4*sqrt(2))))}}}


{{{sqrt(5+sqrt(5^2+sqrt(5^4(1+ sqrt(2)))))}}}


{{{sqrt(5+sqrt(5^2+5^2*sqrt((1+ sqrt(2)))))}}}


{{{sqrt(5+5sqrt(1+sqrt((1+ sqrt(2)))))}}}


{{{sqrt(5 (1 + sqrt(1 + sqrt(2))))}}}


&amp;#8773; {{{3.6042}}}


</PRE>