Home
Class 8
MATHS
The following numbers are not perfect sq...

The following numbers are not perfect squares. Give reason. (I)1547         (ii)  45743      (iii)  8948          (iv)  333333

Text Solution

AI Generated Solution

To determine whether the given numbers are perfect squares, we can analyze their unit digits. A perfect square can only end with certain digits. The possible unit digits of perfect squares are 0, 1, 4, 5, 6, and 9. Therefore, if a number ends with any of the digits 2, 3, 7, or 8, it cannot be a perfect square. Let's analyze each number step by step: ### Step 1: Analyze the unit digit of 1547 - The unit digit of 1547 is **7**. - Since 7 is not one of the possible unit digits of perfect squares, **1547 is not a perfect square**. ...
Promotional Banner

Topper's Solved these Questions

  • RATIONAL NUMBERS

    RD SHARMA|Exercise All Questions|185 Videos
  • TIME AND WORK

    RD SHARMA|Exercise All Questions|46 Videos

Similar Questions

Explore conceptually related problems

The following numbers are not perfect squares. Give reason. (I)1057 (ii) 23453 (iii) 7928 (iv) 222222

The following numbers are not perfect squares. Given reason. (I)64000 (ii) 89722 (iii) 222000 (iv) 505050

Which of the following numbers is a perfect square?

Which of the following numbers is a perfect square ?

Which of the following number is not a perfect square ?

Which of the following numbers is not a perfect square ?

Which of the following numbers is not a perfect square ?

RD SHARMA-SQUARES AND SQUARE ROOTS-All Questions
  1. Using the given pattern, find the missing numbers: 1^2+2^2+2^2=3^2 ...

    Text Solution

    |

  2. Using suitable patterns, compute the following : (I)(333^2)/(12321)=...

    Text Solution

    |

  3. The following numbers are not perfect squares. Give reason. (I)1547...

    Text Solution

    |

  4. Show that the following numbers are not perfect squares: (I)9327    ...

    Text Solution

    |

  5. The square of which of the following numbers would be an odd numbers...

    Text Solution

    |

  6. What will be the units digit of the squares of the following numbers...

    Text Solution

    |

  7. Observe the following pattern 1+3=2^2 1+3+5=3^2 1+3+5+7=4^2 and...

    Text Solution

    |

  8. Observe the following pattern 2^2-1^2=2+1 3^2-2^2=3+2 4^2-3^2=4+3 ...

    Text Solution

    |

  9. Which of the following triplets are Pythagorean? (I)(8,\ 15 , 17) ...

    Text Solution

    |

  10. Observe the following pattern (1xx2)+(2xx3)=(2xx3xx4)/3, (1xx2)+(2xx3...

    Text Solution

    |

  11. Observe the following pattern 1=1/2{1xx(1+1)}, 1+2=1/2{2xx(2+1)}, 1...

    Text Solution

    |

  12. Observe the following pattern (i)1^2=1/6[1xx(1+1)xx(2xx1+1)], (ii)1^...

    Text Solution

    |

  13. Which of the following square numbers are squares of even numbers ? ...

    Text Solution

    |

  14. By just examining the units digits, can you tell which of the follow...

    Text Solution

    |

  15. Write five numbers for which you cannot decide whether they are squa...

    Text Solution

    |

  16. Write five numbers which you connot decide whether they are square ...

    Text Solution

    |

  17. Find the square root of the following number by prime factorization....

    Text Solution

    |

  18. Find the squares of the following numbers using column method. (I)25...

    Text Solution

    |

  19. Find the squares of the following numbers using column method: (I)99...

    Text Solution

    |

  20. Find the squares of the following numbers by visual method. (I)54   ...

    Text Solution

    |