Question

find the cube root of 186216 by
estimation

Answer 1

cube root of 186216= 57.10476270

Answer 2

Answer:57.104

Step-by-step explanation:

as we know for being a number to cube it must have thrice of prime numbers in its factor. it it have thrice then it is called a perfect cube and if not then it is not a perfect cube.

so

186216 = 2*2*2*3*7759

it does not have thrice.

so by estimation

57³<186216<58³

so it is clear it is a cube of between 57 and 58.

by solving its value is 57.104