And explain

let a, b and c be positive numbers such that ab=2, bc=4 and ac=8. what is the value of abc?

abc = 8

Step-by-step explanation:

ab=2, bc=4 and ac=8

Multiply all of these together

ac = 2

Multiply by bc =4 (the left on the left and the right on the right)

ac * bc  = 2*4

ab^2c =8

Multipy by ac =8  (the left on the left and the right on the right)

ab^2c *ac = 8*8

a^2 b^2 c^2 = 64

Take the square root of each side

sqrt(a^2 b^2 c^2) = ±sqrt(64)

abc = ±8

Since a,b,c are positive numbers

abc = 8