Question

show that 0.001728 is a cube root of a rational number​

Answer 1

Answer:

0.001728 = 1728/1000000

⇒ 27/15625

Step-by-step explanation:

⇒When we raise this number to power 3, we get:

⇒(27/15625)³ = 19683/3814697265625

⇒Meaning 0.001728 is the cube root of 19683/3814697265625 which is a rational number.

⇒A rational number is a number that can be expressed as a/b where a and b are integers.

Method-2

⇒Cubes and Cube Roots. Show that 0.001728 is the cube of a rational number. ... i.e. 64 is a perfect cube. Thus, the required smallest number is 3.