Question

if x=√2,y=√3/2,z=√5/3 then show that x>y>z>

Answer 1

Let's get this with a little of approximation..
√2=1.414... √3=1.732... √5=2.236...

So,
x=1.414... y=1.732.../2 z=2.236.../3

this gives,
x=1.414... y=0.866... z=0.745...

Clearly, 1.414...>0.866...>0.745...
And so, x>y>z
Quod erat Demonstrandum (Q.E.D)