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Which one of the following is the minimu...

Which one of the following is the minimum value of the sum of two integers whose product is 36 ?

A

37

B

20

C

15

D

12

Text Solution

AI Generated Solution

The correct Answer is:
To find the minimum value of the sum of two integers whose product is 36, we can follow these steps: ### Step 1: Identify the factors of 36 We start by identifying the pairs of integers that multiply to give 36. The pairs of factors of 36 are: - (1, 36) - (2, 18) - (3, 12) - (4, 9) - (6, 6) ### Step 2: Calculate the sum for each pair Next, we calculate the sum of each pair: - For (1, 36): \( 1 + 36 = 37 \) - For (2, 18): \( 2 + 18 = 20 \) - For (3, 12): \( 3 + 12 = 15 \) - For (4, 9): \( 4 + 9 = 13 \) - For (6, 6): \( 6 + 6 = 12 \) ### Step 3: Identify the minimum sum Now we compare the sums we calculated: - 37 - 20 - 15 - 13 - 12 The minimum sum from these values is 12. ### Step 4: Conclusion Thus, the minimum value of the sum of two integers whose product is 36 is **12**.
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