Question

If x=a^3/2 , y=(√b/a)^-3 , xyz =8000 , then a is what??​

Answer 1

Answer:

we know that, A.M.≥G.M.

⟹

3

a+b+c

≥

3

abc

let a=xy,b=yz,c=zx

⟹

3

xy+yz+zx

≥

3

xy×yz×zx

⟹

3

12

≥

3

(xyz)

2

(since, given that xy+yz+zx=12)

⟹4≥

3

(xyz)

2

⟹

3

(xyz)

2

≤4

cubing on both sides

⟹(xyz)

2

≤4

3

⟹(xyz)

2

≤64

applying square root on both sides

xyz≤8

therefore, the maximum value of xyz=8

Answer 2

Answer:

8

Step-by-step explanation:

please refer to the attachments