Without using a calculator, determine between which two consecutive integers the square root lies.42
The square root of 42 lies between 6 and 7.
To determine between which two consecutive integers the square root of 42 lies, we can start by finding the nearest perfect squares to 42.
The perfect squares below 42 are:
6^2 = 36
7^2 = 49
So, the square root of 42 is between 6 and 7. Therefore, the square root of 42 lies between the consecutive integers 6 and 7.