Home/ Questions/Q 511238
Next
In Process
Ayushree
  • 0
Asked: 2025-08-01T10:19:26+00:00 In:

The next two taxicab numbers after 1729 are 4104 and 13832. Find the two ways in which each of these can be expressed as the sum of two positive cubes.

  • 0

4104 = 2³ + 16³ = 9³ + 15³
13832 = 2³ + 24³ = 18³ + 20³
These are called taxicab numbers, which are expressible as the sum of two positive cubes in two distinct ways.

Class 8 Mathematics Chapter 1 A Square and A Cube question answer

Class 8 NCERT Ganita Prakash Chapter 1 A Square and A Cube solutions

class 8 maths chapter 1 a square and a cube solutionsclass 8 maths ganita prakash chapter 1 solutions @tiwari academytwo taxicab numbers after 1729 are 4104 and 13832
Share

    1 Answer

    1. A taxicab number is a number expressible as a sum of two cubes in two ways.
      For 4104:
      → 2³ + 16³ = 8 + 4096 = 4104
      → 9³ + 15³ = 729 + 3375 = 4104
      For 13832:
      → 2³ + 24³ = 8 + 13824 = 13832
      → 18³ + 20³ = 5832 + 8000 = 13832
      Hence, both 4104 and 13832 are taxicab numbers.

       

      For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:

      https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/

      • 96
    Leave an answer

    Leave an answer

    Browse