Originally Posted by

**ruprotein** Anyone got a step by step approach to solve this, it aint that hard just checkin my work

Prove (There exists a real number x)(For all real numbers y)(4+6y-y^2<x)

and the 2nd one is

Prove sqrt(2) +sqrt(5) is irrational

the way i did this was by contradiction and i proved that sqrt(10) is irrational because via contradiction i said sqrt(10) i srational then for integers m, n swrt(10) = m/n and m and n are both not even integers, but as i worked it i showed that m and n were both even therefore it cantbe rational, was my approach correct?