Home
Class 8
MATHS
Find the smallest number by which the gi...

Find the smallest number by which the given number must be divided so that the resulting number is a perfect square : (i)14283            (ii)  1800            (iii)   2904

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RATIONAL NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|186 Videos
  • TIME AND WORK

    RD SHARMA ENGLISH|Exercise All Questions|46 Videos

Similar Questions

Explore conceptually related problems

Find the least number which must be added to 5483 so that the resulting number is a perfect square.

Find the least number which must be added to 1205 so that the resulting number is a perfect square.

Find the smallest number by which the given number must be multiplied so that the product is a perfect square : (i)23805 (ii) 12150 (iii) 7688

Find the smallest number by which 28812 must be divided so that the quotient becomes a perfect square.

Find the least number which must be subtracted from 1205 so that the resulting number is a perfect square.

Find the least number which must be subtracted from 2037 so that the resulting number is a perfect square.

Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.

Find the smallest number by which 25200 should be divided so that the result is a perfect square.

With what least number must 8640 be divided so that the quotient is a perfect cube?

What is the smallest number by which 3087 must be divided so that the quotient is a perfect cube ?

RD SHARMA ENGLISH-SQUARES AND SQUARE ROOTS-All Questions
  1. Show that each of the following numbers is a perfect square. Also, f...

    Text Solution

    |

  2. Find the smallest number by which the given number must be multiplie...

    Text Solution

    |

  3. Find the smallest number by which the given number must be divided s...

    Text Solution

    |

  4. Which of the following numbers are perfect squares ? 11, 12, 16, 32, 3...

    Text Solution

    |

  5. Using prime factorization method, find which of the following numbe...

    Text Solution

    |

  6. By what number should each of the following numbers be multiplied to...

    Text Solution

    |

  7. By what numbers should each of the following be divided to get a per...

    Text Solution

    |

  8. Find the greatest number of two digits which is a perfect square.

    Text Solution

    |

  9. Find the least number of three digits which is perfect square.

    Text Solution

    |

  10. Find the smallest number by which 4851 must be multiplied so that t...

    Text Solution

    |

  11. Find the smallest number by which 28812 must be divided so that the...

    Text Solution

    |

  12. Find the smallest number by which 1152 must be divided so that it b...

    Text Solution

    |

  13. Explain why none of the numbers out of following is a perfect square. ...

    Text Solution

    |

  14. 635, 98, 122 are not perfect squares as they leave remainder 2 when...

    Text Solution

    |

  15. 67,  146, 363, 10003 are not perfect squares as they leave remainde...

    Text Solution

    |

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

    Text Solution

    |

  17. (3,4,5),\ (5, 12 , 13),\ (8, 15 ,\ 17) etc. are Pythagorean triplets, ...

    Text Solution

    |

  18. Write a Pythagorean triplet whose one member is : (I)6             ...

    Text Solution

    |

  19. The following numbers are not perfect squares. Give reason. (I)1057 ...

    Text Solution

    |

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

    Text Solution

    |