Home
Class 8
MATHS
Examine if (a) 192 (b) 77444 are perfect...

Examine if (a) 192 (b) 77444 are perfect cubes

Text Solution

AI Generated Solution

To determine if the numbers 192 and 77444 are perfect cubes, we will use the prime factorization method. A number is a perfect cube if all the prime factors in its factorization have exponents that are multiples of 3. ### Step-by-Step Solution: #### Part (a): Checking if 192 is a Perfect Cube 1. **Prime Factorization of 192**: - Start dividing 192 by the smallest prime number, which is 2. ...
Promotional Banner

Topper's Solved these Questions

  • SQUARES AND SQUARE ROOTS AND CUBES AND CUBE ROOTS

    PEARSON IIT JEE FOUNDATION|Exercise Very short Answer Type Question|30 Videos

  • SQUARES AND SQUARE ROOTS AND CUBES AND CUBE ROOTS

    PEARSON IIT JEE FOUNDATION|Exercise short Answer Type Question|15 Videos

  • SIMPLE INTEREST AND COMPOUND INTEREST

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION Level 3|9 Videos

  • STATISTICS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL II) |29 Videos

Similar Questions

Explore conceptually related problems

Is 243 a perfect cube?

Is 1024 a perfect cube?

Is 256 a perfect cube?

Is 256 a perfect cube?

Is 196 a perfect cube?

Examine if 1512 is a perfect cube .If not find the smallest number by which it must be multiplied so that the product is a perfect cube .Also find the smallest number by which it must be divided so that the quotient is a perfect cube.

Examine if 130 is a perfect cube .If not then find the smallest number that must be substracted form 130 to obtain a perfect cube