Home
Class 8
MATHS
What is the smallest number by which 819...

What is the smallest number by which 8192 must be divided so that quotient is a perfect cube? Also find the cube root of the quotient so obtained.

Text Solution

Verified by Experts

The correct Answer is:
` :. root3(4096) =16`
Promotional Banner

Topper's Solved these Questions

  • CUBES AND CUBE ROOTS

    MTG IIT JEE FOUNDATION|Exercise Exercise (Subjective Problems.) (Long Answer Type)|5 Videos
  • CUBES AND CUBE ROOTS

    MTG IIT JEE FOUNDATION|Exercise Exercise (Integer/Numerical Value Type) |10 Videos
  • CUBES AND CUBE ROOTS

    MTG IIT JEE FOUNDATION|Exercise Exercise (Subjective Problems.) (Very Short Answer Type)|10 Videos
  • COMPARING QUANTITIES

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Cornet|15 Videos
  • DATA HANDLING

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|7 Videos

Similar Questions

Explore conceptually related problems

What is the smallest number by which 3087 must be divided so that the quotient is a perfect cube?

What is the smallest number by which 8788 must be divided so that the quotient is a perfect cube.

What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube.

What is the smallest number by which 392 may be divided so that the quotient is a perfect cube?

What is the least number by which 13720 must be divided so that the quotient is a perfect cube?

What is the smallest number by which 392 must be multiplied so that the product is a perfect cube?

What is the smallest number by which 392 must be multiplied so that the product is a perfect cube?

Find the smallest number by which 9408 must be divided so that the quotient is a perfect square.Find the square root of the quotient.