INEQUALITIES

lets see who can do this. this one`s for all oldies in this site like priyam ,skygirl.eureka,srinath, prophet sir, celestine, anirudh, sankara,unique,mak, NISHANT BHAIYAN, MANISH BHAIYAN, LOKESH BHAIYAN and others. { i miss rohan and ith power}

let a,b,c≥0 satisfying ab+bc+ca=1

prove that Σ 1/√a²+bc ≥2√2

there the square root is for total denominator. ALL THE BEST.