Question

( 2 sqrt{3+sqrt{5-sqrt{13+sqrt{48}}}} )
( =2 sqrt{3+sqrt{5-sqrt{12+1+2 sqrt{12}}}} )
( =2 sqrt{3+sqrt{5-sqrt{12-1}}} )
( =2 sqrt{3+sqrt{3+1-2 sqrt{3}}} )
( =2 sqrt{3+sqrt{3}-1} )
( =2 sqrt{2+sqrt{3}}=sqrt{a}+sqrt{b} )
S Squaning both sides ( 4(2+sqrt{3})=a+b+2 sqrt{a b} )
( therefore ) by woncing surds
we get ( a eq x+b=8 )

# 1. I 2 V3+V5-V13+148 - va+So where a and b are natural number find (a+b)

Solution