Question

The two geometric means between the numbers 1 and 64 are

A. 1 and 64

B. 4 and 16

C. 2 and 16

D. 8 and 16

Answer 1

Let the GM be y,z

∴ 1,y,z,64

y² = 1.z ; z² = 64y

y⁴ = z²

∴ y⁴ = 64y

⇒ y = 4

∴ Z = 16

∴ The two GM are 4,16.