Question

Difference of two perfect cubes is 189. If the cube root of the smaller of the two is 3 find the cube root of the larger no.

Answer 1

Answer:

Here is your answer:

According to the question:

33+189=b3

b3=27+189

b3=216

b=6.

Hence, the cube root of a larger number is 6.

Answer 2

Answer:

6

Step-by-step explanation:

given difference of 2 perfect cubes = 189

ie, for an arbitrary a and b , such that a > b,

                 a³ - b³ = 189

given the cube root of smaller is 3

ie, b = 3

=> a³ - 3³ = 189

=> a³ - 27 = 189

=> a³ = 189+27 = 216

=>  a = ∛216 = 6

so the cubes are 216 (ie, a³)and 27 (ie, b³) and the cube root of the larger no. is 6