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Let us check if 3375 is a perfect cube.

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Yes, 3375 is a perfect cube. Its prime factorisation is 3 × 3 × 3 × 5 × 5 × 5. These group as (3 × 5)³ = 15³. So, 3375 is a cube and its cube root is 15.

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

 

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  1. To check if 3375 is a cube, we do prime factorisation:
    3375 = 3³ × 5³
    We can group the factors as (3 × 5)³ = 15³ = 3375. Since the prime factors can be grouped into three equal parts, this confirms that 3375 is a perfect cube.
    Hence, the cube root of 3375 is 15.

     

    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/

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