Ayushree
  • 2

How many tiny squares are there in the following picture? Write the prime factorisation of the number of tiny squares.

  • 2

The number of tiny squares is 144. Prime factorisation of 144 is 2⁴ × 3². This is a perfect square since all exponents are even.
So, the number of squares is 12 × 12 and √144 = 12.

Class 8 Mathematics Ganita Prakash A Square and A Cube

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

Share

1 Answer

  1. The total number of tiny squares in the image is 144, arranged in a 12 × 12 square. The prime factorisation of 144 is:
    144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²
    All exponents are even, so it confirms 144 is a perfect square.
    So, number of tiny squares = 144
    Prime factorisation: 2⁴ × 3²
    Square root: 12

     

    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/

    • 92
Leave an answer

Leave an answer

Browse