To approximate the square root of 56 using perfect squares, we need to find the perfect squares that are closest to 56, both less than and greater than 56.
First, let's identify the perfect square that is closest to but less than 56. Among the given options (49, 64, 81, 100), the perfect square less than 56 is 49.
Next, let's identify the perfect square that is closest to but greater than 56. The perfect square greater than 56 among the options is 64.
So, we can fill in the blanks as follows:
[tex]\[
\sqrt{49} < \sqrt{56} < \sqrt{64}
\][/tex]
