Question

arrange x°,y°,z° in the ascending order
​

Answer 1

$\huge{\red{\underline{\pink{\mathbb{HeY, mAtE..!!!}}}}}$

$x° , y° , z°$ are in ascending order.

Answer 2

Answer:

answer is

Step-by-step explanation:

c>1,c∈R

x=

√

c+2

−

√

c+1

√

c

−

√

c−1

=(

√

c+2

−

√

c+1

)(

√

c

+

√

c−1

)

y=

√

c+2

−

√

c+1

√

c+1

−

√

c

=(

√

c+2

−

√

c+1

)(

√

c+1

+

√

c

)

z=

√

c

−

√

c−1

√

c+2

−

√

c+1

=(

√

c

−

√

c−1

)(

√

c+2

+

√

c+1

)

It is pretty easy to prove that x<y. I have already done that. By experimental substitution, I have found out that y<z. But every time I try out prove this generically, I end up with LHS and RHS both looking terrible and yielding unwanted false results and conclusions like

√

x

<0. Can someone please help me out in proving that y<z??? Please. Even a definitive good hint is helpful.

plz mark the brilliant answer