Approximate using perfect square. Identify the two integers the number is between. Show your work. 37 squared

Answer 1

To approximate the square of 37 using a perfect square, we first need to find the perfect squares that 37 is between.

The perfect squares closest to 37 are 36, which is 6 squared, and 49, which is 7 squared.

Since 37 is closer to 36, we can say that 37 squared is approximately the same as 6 squared, or 36.

Therefore, the two integers that 37 squared is between are 36 and 49.