Question

find the smallest value of k such that 16k is a perfect cube​

Answer 1

Step-by-step explanation:

16k=(k)^3

16=(k)^2

(k)^2=16

k=✓16

k=4

Answer 2

The smallest value of k is 4.

Given:

16k is a perfect cube

To find:

The smallest possible value of k

Solution:

We are given that

16k is a perfect cube (k∈N)

⇒ 2⁴k is a perfect cube

⇒ (4 × 4 × k) is a perfect cube

Now,

A perfect cube is a cube of positive integers.

⇒ smallest value of k = 4

Putting k=4, we get

16k = 4 x 4 x 4 = 4³ = 64, which is a perfect cube.

∴ The smallest value of k is 4.

SPJ2