Home
Class 8
MATHS
Which of the are square of even number ?...

Which of the are square of even number ?
196
441
900
625
324
484
961
7396
8649
4225

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given numbers are squares of even numbers, we will check each number individually to see if they can be expressed as the square of an even integer. ### Step-by-Step Solution: 1. **Check 196**: - Calculate the square root: \( \sqrt{196} = 14 \) - Since 14 is an even number, **196 is a square of an even number**. 2. **Check 441**: - Calculate the square root: \( \sqrt{441} = 21 \) - Since 21 is an odd number, **441 is not a square of an even number**. 3. **Check 900**: - Calculate the square root: \( \sqrt{900} = 30 \) - Since 30 is an even number, **900 is a square of an even number**. 4. **Check 625**: - Calculate the square root: \( \sqrt{625} = 25 \) - Since 25 is an odd number, **625 is not a square of an even number**. 5. **Check 324**: - Calculate the square root: \( \sqrt{324} = 18 \) - Since 18 is an even number, **324 is a square of an even number**. 6. **Check 484**: - Calculate the square root: \( \sqrt{484} = 22 \) - Since 22 is an even number, **484 is a square of an even number**. 7. **Check 961**: - Calculate the square root: \( \sqrt{961} = 31 \) - Since 31 is an odd number, **961 is not a square of an even number**. 8. **Check 7396**: - Calculate the square root: \( \sqrt{7396} = 86 \) - Since 86 is an even number, **7396 is a square of an even number**. 9. **Check 8649**: - Calculate the square root: \( \sqrt{8649} = 93 \) - Since 93 is an odd number, **8649 is not a square of an even number**. 10. **Check 4225**: - Calculate the square root: \( \sqrt{4225} = 65 \) - Since 65 is an odd number, **4225 is not a square of an even number**. ### Summary of Results: - The numbers that are squares of even numbers are: **196, 900, 324, 484, and 7396**.
Promotional Banner

Topper's Solved these Questions

  • SQUARES

    RS AGGARWAL|Exercise EXERCISE 3C|1 Videos
  • SQUARES

    RS AGGARWAL|Exercise EXERCISE 3D|7 Videos
  • SQUARES

    RS AGGARWAL|Exercise EXERCISE 3A|4 Videos
  • RATIONAL NUMBERS

    RS AGGARWAL|Exercise TEST PAPER|19 Videos
  • THREE - DIMENSIONAL FIGURES

    RS AGGARWAL|Exercise EXERCISE 19 B|5 Videos

Similar Questions

Explore conceptually related problems

Which of the following is a square of an even number?

Which of the following is the square of an even number ?

Which of the following is the square of an even number ?

Which of the following numbers are squares of even numbers? 121,225,256,324,1296,65615476,4489,373758

Which of the following perfect squares are squares of even numbers? (a)324(b) 84(c) 1369(d)1444

In each of the following questions, find out the wrong number in the series. 441, 484, 529, 566, 625

zzzzIn each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the row of numbers is to be answered. The operations of numbers progress from left to right. Rules: (i) If an even number is followed by a another odd number, they are to be multiplied. (ii) If an even number is followed by a another even number, the first number is to be divided by the second number. (iii) If a even is followed by the perfect square of an odd number, the first number is to be subtracted from the second number. (iv) If an odd number is followed by an even number the two are to be added. (v) If a odd number is followed by an odd number which is not a perfect square, the square of the odd number is to be added to the odd number. 28 49 13 = x 37 12 22 = y What will be the sum of the resultants of the two rows ? 1) 108 2) 75 3) 106 4) 76 5) None of these

Some equations are solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis. If 324 xx 289 = 35, 441 xx 484 = 43, 625 xx 400 = 45 , find the value of 256 xx 729 .

RS AGGARWAL-SQUARES-EXERCISE 3B
  1. Give reason to show that none of the number given below is a perfect s...

    Text Solution

    |

  2. Which of the are square of even number ? 196 441 900 625 32...

    Text Solution

    |

  3. Without adding, find the sum: (1+3+5+7+9+11+13) (1+3+5+7+9+11+13+1...

    Text Solution

    |

  4. Express 81 as the sum of 9 odd numbers.

    Text Solution

    |

  5. Express 100 as the sum of 10 odd numbers.

    Text Solution

    |

  6. Write the Pythagorena triplet whose smallest number is 6 14 16 ...

    Text Solution

    |

  7. Evalute: (38)^(2) - (37)^(2) (75)^(2)-(74)^(2) (92)^(2) -(91)^(2...

    Text Solution

    |

  8. Using the formula (a+b)^(2) = (a^(2) + 2ab+b ^(2)), evaluate: (310)^...

    Text Solution

    |

  9. Evaluate: 69xx71

    Text Solution

    |

  10. Evaluate: 94xx106

    Text Solution

    |

  11. Evaluate: 88xx92

    Text Solution

    |

  12. Evaluate: 78xx82

    Text Solution

    |

  13. Fill in the blanks: The square of an even number is ………

    Text Solution

    |

  14. Fill in the blanks: The square of an odd number is ……….

    Text Solution

    |

  15. Fill in the blanks: The square of a proper fraction is ……. than the ...

    Text Solution

    |

  16. Fill in the blanks: n^(2)= the sum of first n……….natural numbers.

    Text Solution

    |

  17. Write (T) for true and (F) for false for each of the statements given ...

    Text Solution

    |

  18. Write (T) for true and (F) for false for each of the statements given ...

    Text Solution

    |

  19. Write (T) for true and (F) for false for each of the statements given ...

    Text Solution

    |

  20. Write (T) for true and (F) for false for each of the statements given ...

    Text Solution

    |