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Find the cube roots of 27000 and 10648.

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27000 = 30³, so cube root is 30.
10648 = 22³, so cube root is 22.
We find this either by prime factorisation or by recognising these as perfect cubes. Both values are exact and whole numbers.

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

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

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  1. To find cube roots:
    27000 = 3 × 3 × 3 × 10 × 10 × 10 = (3×10)³ = 30³ ⇒ √³27000 = 30
    10648 = 2 × 2 × 2 × 11 × 11 × 11 = (2×11)³ = 22³ ⇒ √³10648 = 22
    So, cube roots are 30 and 22 respectively. Both numbers are perfect cubes.

     

    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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