Question

3.Subtopic: Cubes
Description: 1729 can be expressed as sum of cubes of
two numbers 1729 = (1)3+ (12)3 = (9)3 + (10)3
(i) Find two more such numbers which can be expressed
as sum of cubes of two natural numbers.
What special name is given to the number 1729?​

Answer 1

Answer:

(i) 4104, 13832

(ii) Ramanujan number

Step-by-step explanation:

(i) 4104=16^3+2^3=15^3+9^3

13832=24^3+2^3 =20^3+18^3