Question

. Check, if the following numbers are perfect squares:
(1) 9801
(1) 343
(i) 627
(0) 7938
(vi) 2500
(vii) 1521
(ix) 28324
(x) 1500
(xi) 2025
Using properties of squares, find the values of the following​

Answer 1

In order to check the perfect square, we need to follow all the mentioned rules:

• The properties of perfect squares:
• The unit digits of all perfect squares must be either 0, 1, 4, 9, 6, 5
• No perfect square can have 2, 3,7 or 8 as its unit digit.
• The digit sum if a perfect square is either: 1, 4,7 or 9.
• (1) 9801 = 99^2  
• (1) 343
• (i) 627
• (0) 7938
• (vi) 2500 = 50^2
• (vii) 1521= 39^2
• (ix) 28324
• (x) 1500
• (xi) 2025 = 45^2