Final answer:
Estimate the solution of c² = 40 to the nearest integer by identifying that 6² = 36 is closer to 40 than 7² = 49, leading us to approximate the value of c to be 6.
Step-by-step explanation:
To estimate the solution of c² = 40 to the nearest integer, we need to find the value of c when squared that is close to 40. Since we know that 6² = 36 and 7² = 49, the value of c will be between 6 and 7.Because 40 is closer to 36 than it is to 49, we can estimate that c will be closer to 6 than to 7. To estimate to the nearest integer, we would therefore choose 6 as the estimated solution of c.