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Answer :
To find out which numbers from the list are perfect squares, let's go through each number one by one and determine if it's a perfect square:
1. 15: A perfect square is a number that can be expressed as the square of an integer. The number 15 is not a square of an integer because there’s no whole number that, when multiplied by itself, equals 15.
2. 64: Check if there's an integer that multiplies by itself to give 64. Since 8 multiplied by itself (8 x 8) equals 64, 64 is a perfect square.
3. 49: Determine if there's a whole number that squares to give 49. 7 multiplied by itself (7 x 7) equals 49, so 49 is a perfect square.
4. 62: Check if there's an integer whose square is 62. Since there isn’t a whole number that when squared equals 62, it is not a perfect square.
5. 16: Find out if there’s an integer that when multiplied by itself results in 16. Since 4 multiplied by itself (4 x 4) equals 16, 16 is a perfect square.
6. 11: Determine if any whole number squares to equal 11. There isn’t any integer that when multiplied by itself results in 11, so it's not a perfect square.
Based on these checks, the numbers that are perfect squares from the list are 64, 49, and 16.
1. 15: A perfect square is a number that can be expressed as the square of an integer. The number 15 is not a square of an integer because there’s no whole number that, when multiplied by itself, equals 15.
2. 64: Check if there's an integer that multiplies by itself to give 64. Since 8 multiplied by itself (8 x 8) equals 64, 64 is a perfect square.
3. 49: Determine if there's a whole number that squares to give 49. 7 multiplied by itself (7 x 7) equals 49, so 49 is a perfect square.
4. 62: Check if there's an integer whose square is 62. Since there isn’t a whole number that when squared equals 62, it is not a perfect square.
5. 16: Find out if there’s an integer that when multiplied by itself results in 16. Since 4 multiplied by itself (4 x 4) equals 16, 16 is a perfect square.
6. 11: Determine if any whole number squares to equal 11. There isn’t any integer that when multiplied by itself results in 11, so it's not a perfect square.
Based on these checks, the numbers that are perfect squares from the list are 64, 49, and 16.
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