Approximate using perfect squares. Identify the two integers the number is between. Show your work. 78 squared

Answer 1

To approximate the square of 78 using perfect squares, we can find the two perfect squares that 78 falls between.

The perfect square below 78 is 64 (8 squared), and the perfect square above 78 is 81 (9 squared).

Therefore, 78 squared is approximately between 64 squared and 81 squared.

64 squared = 64 * 64 = 4096
81 squared = 81 * 81 = 6561

So, 78 squared is approximately between 4096 and 6561.