Home
Class 8
MATHS
The smallest Ramanujans numbers is 1729 ...

The smallest Ramanujans numbers is 1729 which can be expressed as the sum of two cubes in two different ways.
`1729= 9^(3) + 10^(3) and 1729 = 1^(3) + 12^(3)`
Similarly, express the number 4104 and 13832 are the sum of cubes in two different ways.

Answer

Step by step text solution for The smallest Ramanujans numbers is 1729 which can be expressed as the sum of two cubes in two different ways. 1729= 9^(3) + 10^(3) and 1729 = 1^(3) + 12^(3) Similarly, express the number 4104 and 13832 are the sum of cubes in two different ways. by MATHS experts to help you in doubts & scoring excellent marks in Class 8 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CUBES AND CUBE ROOTS

    NAND LAL PUBLICATION|Exercise Sample Paper For Practice |18 Videos
  • CUBES AND CUBE ROOTS

    NAND LAL PUBLICATION|Exercise Additional Questions For Practice (Long Answer Type Questions)|3 Videos
  • COMPARING QUANTITIES

    NAND LAL PUBLICATION|Exercise SOLUTION TO SAMPLE PAPER|14 Videos
  • DATA HANDLING

    NAND LAL PUBLICATION|Exercise SAMPLE PAPER FOR PRACTICE |10 Videos

Similar Questions

Explore conceptually related problems

Can you find an even number greater tha 4 which cannot be expressed as a sum of two odd numbers ?

The number of ways in which n distinct objects can be put into two different boxes is:

Knowledge Check

  • The statement Every even number greater than 4 can be expressed as the sum of two odd prime numbers is given by?

    A
    Goldbach
    B
    Eratosthenes
    C
    Aryabhatta
    D
    Ramanujan
  • Similar Questions

    Explore conceptually related problems

    Express the following numbers as the sum of odd numbers using the above pattern. 6^3

    Express the following numbers as the sum of odd numbers using the above pattern. 8^3

    Express the following numbers as the sum of odd numbers using the above pattern. 7^3 .

    The number of positive integers with the property that they cann be expressed as the sum of the cubes of 2 positive integers in two different ways is

    Fins two positive numbers whose sum is 24 and the sum of cubes is minimum.

    Express the following numbers as the sum of odd numbers using the above pattern 6^(3)

    Express the following numbers as the sum of odd numbers using the above pattern 8^(3)