Answer :
To determine which numbers are perfect squares, we need to identify if a whole number multiplied by itself equals each of the given options.
Let's analyze each option:
A. 16:
The square root of 16 is 4 because [tex]\(4 \times 4 = 16\)[/tex]. Since 16 is the product of multiplying a whole number by itself, it is a perfect square.
B. 49:
The square root of 49 is 7 because [tex]\(7 \times 7 = 49\)[/tex]. This means 49 is a perfect square.
C. 15:
The square root of 15 is not a whole number, because no whole number multiplied by itself equals 15. Therefore, 15 is not a perfect square.
D. 62:
The square root of 62 is not a whole number, as no whole number multiplied by itself gives 62. Thus, 62 is not a perfect square.
E. 11:
The square root of 11 is not a whole number. Therefore, 11 is not a perfect square.
F. 64:
The square root of 64 is 8 because [tex]\(8 \times 8 = 64\)[/tex]. So, 64 is a perfect square.
From this analysis, the numbers that are perfect squares are 16, 49, and 64.
Let's analyze each option:
A. 16:
The square root of 16 is 4 because [tex]\(4 \times 4 = 16\)[/tex]. Since 16 is the product of multiplying a whole number by itself, it is a perfect square.
B. 49:
The square root of 49 is 7 because [tex]\(7 \times 7 = 49\)[/tex]. This means 49 is a perfect square.
C. 15:
The square root of 15 is not a whole number, because no whole number multiplied by itself equals 15. Therefore, 15 is not a perfect square.
D. 62:
The square root of 62 is not a whole number, as no whole number multiplied by itself gives 62. Thus, 62 is not a perfect square.
E. 11:
The square root of 11 is not a whole number. Therefore, 11 is not a perfect square.
F. 64:
The square root of 64 is 8 because [tex]\(8 \times 8 = 64\)[/tex]. So, 64 is a perfect square.
From this analysis, the numbers that are perfect squares are 16, 49, and 64.
