Using rational approximations what is an equality statement comparing square 81 and square 88?

Answer 1

Using rational approximations, we can approximate square roots by finding the closest rational number to the given number.

For square 81, the square root is exactly 9 because 9 * 9 = 81.

For square 88, using rational approximations, we can find that the closest rational number to the square root of 88 is approximately 9.38. This means that 9.38 * 9.38 ≈ 88.

Therefore, the equality statement comparing square 81 and square 88 using rational approximations is:

9 * 9 = 81 ≈ 9.38 * 9.38.