Factor the following as if it were a trinomial.
25x^(3/2) + 10x^(3/4) + 1
let y = 5^(3/4) then your expression becomes
( (5x)^(3/4) )^2 + 2(5^(3/4) + 1
= y^2 + 2y + 1
= (y + 1)^2
= ( 5x^(3/4) + 1)^2
25x^(3/2) + 10x^(3/4) + 1
( (5x)^(3/4) )^2 + 2(5^(3/4) + 1
= y^2 + 2y + 1
= (y + 1)^2
= ( 5x^(3/4) + 1)^2