Answer :
To determine which numbers from the list are perfect squares, let's first understand what a perfect square is. A perfect square is a number that can be expressed as the product of an integer multiplied by itself.
Now, let's explore each option one by one:
A. 62:
To find out if 62 is a perfect square, we look for an integer whose square is 62. No integer multiplied by itself results in 62, so 62 is not a perfect square.
B. 11:
Similarly, if we check 11, we search for an integer whose square is exactly 11. There is no such integer, so 11 is not a perfect square.
C. 15:
For 15, we try to find an integer that squared equals 15. Again, there is no integer that satisfies this condition, so 15 is not a perfect square.
D. 64:
Checking 64, if you find the square root of 64, it is 8, and [tex]\(8 \times 8 = 64\)[/tex]. Therefore, 64 is a perfect square.
E. 49:
For 49, the square root is 7, and [tex]\(7 \times 7 = 49\)[/tex]. So, 49 is a perfect square.
F. 16:
Finally, for 16, the square root is 4, and [tex]\(4 \times 4 = 16\)[/tex]. Thus, 16 is a perfect square.
In conclusion, the numbers from the list that are perfect squares are:
- 64
- 49
- 16
These are the numbers that can be expressed as the square of an integer.
Now, let's explore each option one by one:
A. 62:
To find out if 62 is a perfect square, we look for an integer whose square is 62. No integer multiplied by itself results in 62, so 62 is not a perfect square.
B. 11:
Similarly, if we check 11, we search for an integer whose square is exactly 11. There is no such integer, so 11 is not a perfect square.
C. 15:
For 15, we try to find an integer that squared equals 15. Again, there is no integer that satisfies this condition, so 15 is not a perfect square.
D. 64:
Checking 64, if you find the square root of 64, it is 8, and [tex]\(8 \times 8 = 64\)[/tex]. Therefore, 64 is a perfect square.
E. 49:
For 49, the square root is 7, and [tex]\(7 \times 7 = 49\)[/tex]. So, 49 is a perfect square.
F. 16:
Finally, for 16, the square root is 4, and [tex]\(4 \times 4 = 16\)[/tex]. Thus, 16 is a perfect square.
In conclusion, the numbers from the list that are perfect squares are:
- 64
- 49
- 16
These are the numbers that can be expressed as the square of an integer.
