# NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.3 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 4**: Find the square roots of the following numbers by the Prime Factorization method:

(i) 729

(ii) 400

(iii) 1764

(iv) 4096

(v) 7744

(vi) 9604

(vii) 5959

(viii) 9216

(ix) 529

(x) 8100

**Answer**:

**(i)** 729

3 | 729 |

3 | 243 |

3 | 81 |

3 | 27 |

3 | 9 |

3 | 3 |

1 |

**(ii)** 400

2 | 400 |

2 | 200 |

2 | 100 |

2 | 50 |

5 | 25 |

5 | 5 |

1 |

**(iii)** 1764

2 | 1764 |

2 | 882 |

3 | 441 |

3 | 147 |

7 | 49 |

7 | 7 |

1 |

**(iv)** 4096

2 | 4096 |

2 | 2048 |

2 | 1024 |

2 | 512 |

2 | 256 |

2 | 128 |

2 | 64 |

2 | 32 |

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

**(v)** 7744

7744 =

2 | 7744 |

2 | 1936 |

2 | 968 |

2 | 484 |

2 | 242 |

2 | 121 |

11 | 11 |

1 |