Final answer:
The square root of 42 can be estimated using the perfect squares of 36 and 49, which are 6 and 7 respectively, as 42 is between these two values.
Step-by-step explanation:
To estimate the square root of 42, we look for perfect squares that are closest to 42. The perfect squares nearest to 42 are 36 and 49, since √36 = 6 and √49 = 7. Therefore, the square root of 42 is between 6 and 7. To estimate, we can observe that 42 is closer to 49 than it is to 36, which suggests that the square root of 42 is closer to 7 than it is to 6.