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8 grade maths

Find perfect square numbers between 50 and 60.A. Fifty and Fifty fourB. Fifty two and Fifty eightC. Fifty six and Fifty nineD. None of the above

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the perfect square numbers between 50 and 60, we need to determine which numbers between this range are squares of some integer.

The square root of 50 is approximately 7.07, and the square root of 60 is approximately 7.75. Since perfect square numbers are integers, we need to check the integers from 8 to 7 (exclusive) because the square of any number below 8 will be less than 50, and the square of any number above 7 will be greater than 60.

Now, let's calculate the squares of these integers:

8^2 = 64 (greater than 60)
7^2 = 49 (less than 50)
6^2 = 36 (less than 50)
5^2 = 25 (less than 50)
4^2 = 16 (less than 50)
3^2 = 9 (less than 50)
2^2 = 4 (less than 50)
1^2 = 1 (less than 50)

The perfect square numbers between 50 and 60 are 49 and 64. However, 64 is not in the range (50 to 60).

So, there are no perfect square numbers between 50 and 60. Therefore, the correct option is:

D. None of the above