Which of the following can be a perfect square?*(a) 81458(b) 52912(c) 19853(d) 11025
Question
Which of the following can be a perfect square?
- (a) 81458
- (b) 52912
- (c) 19853
- (d) 11025
Solution
To determine which of the numbers can be a perfect square, we need to take the square root of each number. A perfect square is a number that can be expressed as the product of an integer with itself.
(a) The square root of 81458 is approximately 285.41, which is not an integer. (b) The square root of 52912 is approximately 230.02, which is not an integer. (c) The square root of 19853 is approximately 140.90, which is not an integer. (d) The square root of 11025 is exactly 105, which is an integer.
Therefore, the number 11025 (d) can be a perfect square.
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