What is the sum of the squares of the first three prime numbers?

What is the sum of the squares of the first three prime numbers?

• A. 28
• B. 30
• C. 38
• D. 40

Answer: (C)

To find the sum of the squares of the first three prime numbers, it’s essential to first identify what those prime numbers are. The first three prime numbers are 2, 3, and 5. Now, we will calculate the square of each of these numbers: - The square of 2 is \(2^2 = 4\). - The square of 3 is \(3^2 = 9\). - The square of 5 is \(5^2 = 25\). Next, we sum these squares together: \[ 4 + 9 + 25 = 38. \] Therefore, the correct answer is 38, which corresponds to the choices given. This is indeed how the sum of the squares is calculated, leading to the final result. Understanding the process of squaring the individual numbers and then summing them is crucial for arriving at the correct answer.

To find the sum of the squares of the first three prime numbers, it’s essential to first identify what those prime numbers are. The first three prime numbers are 2, 3, and 5.

Now, we will calculate the square of each of these numbers:

• The square of 2 is (2^2 = 4).

• The square of 3 is (3^2 = 9).

• The square of 5 is (5^2 = 25).

Next, we sum these squares together:

[

4 + 9 + 25 = 38.

]

Therefore, the correct answer is 38, which corresponds to the choices given. This is indeed how the sum of the squares is calculated, leading to the final result. Understanding the process of squaring the individual numbers and then summing them is crucial for arriving at the correct answer.