Olympiad Mathematics | Americans can you solve this?

[@abc1234def5678]

Squaring both sides and then squaring again will provide the same answer more easily.

[@HirakMandal-h1y]

can I solve it in this way? root over x/2 * root over x/2= 8 => x/2 * root over x/2= 8*8= 64 => root over x/2= 64*2/x => x/2= 64*64*2*2/x^2 => x^3= 64*64*8 => x^3 = (4*4*2)^3 => x= 4*4*2 => x=32 (ans)

[@KUS-2024]

or:
(X/2)^2×(X/2)^1=8^4
(X/2)^(2+1)=8^4
(X/2)^(3/3)=8^(4/3)
X/2=(2^3)^(4/3)
X/2=2^(12/3) =2^4 =16
X=16×2 =32

[@davidtweneboa-kodua]

Just did it in my head😂