Square root of 90 rounded to the nearest hundredth
The square root of 90 rounded to the nearest hundredth is approximately 9.49.
To find the square root of 90 rounded to the nearest hundredth, follow these steps:
Step 1: Start with an estimated value. Let's estimate the square root of 90 to be around 9.
Step 2: Divide 90 by the estimated value: 90 / 9 = 10.
Step 3: Average the estimated value and the result from step 2: (9 + 10) / 2 = 9.5.
Step 4: Repeat steps 2 and 3 until you reach the desired level of accuracy. Continuing the calculation:
- 90 / 9.5 = 9.473684210526315
- (9.5 + 9.473684210526315) / 2 = 9.486842105263158
Keep repeating steps 2 and 3 until you have reached the desired level of accuracy. In this case, rounding to the nearest hundredth means we need to calculate to two decimal places.
After a few more iterations, the square root of 90 rounded to the nearest hundredth is approximately 9.49.
To square root a number and then round it to the nearest hundredth, follow these steps:
Step 1: Calculate the square root of the given number.
√90 = 9.486832980505138
Step 2: Round the result to the desired decimal place.
Rounding 9.486832980505138 to the nearest hundredth gives you 9.49.
Therefore, the square root of 90 rounded to the nearest hundredth is 9.49.