Question

if root a=√b+√c and √a,√b and √c are three surds ,then

Answer 1

√a = √b +√c

take square both side

a = b + c +2√bc

(a -b -c ) = 2√bc

RHS is always positive term so,LHS is also will be positive .

(a -b -c ) ≥ 0

a ≥ b + c