The square root of 56, rounded to the nearest hundredth, is 7.48.
To find the square root of 56 rounded to the nearest hundredth, follow these steps:
Step 1: Begin by estimating the perfect squares closest to 56. The closest perfect squares are 7² = 49 and 8² = 64.Since 56 is between these squares, its square root will be between 7 and 8.
Step 2: Use a calculator or a method like the Babylonian method for square roots to obtain a more accurate approximation. Taking the square root of 56 yields approximately 7.4833.
Step 3: Round the calculated square root to the nearest hundredth. Considering the third decimal place, 7.4833 rounded to the nearest hundredth is 7.48. Therefore, the square root of 56 rounded to the nearest hundredth is √56≈ 7.48