find the square root of 250
The square root of 250 is approximately 15.81138.
find a square root of 250
A 10√5
B 5√10
C 250
D 25√10
The square root of 250 is 5√10, so the correct answer is option B.
find a square root of 128
A 2√4
B 8√2
C √64 X √2
D 4√2
The square root of 128 is 8√2, so the correct answer is option B.
To find the square root of 250, you can follow these steps:
1. Start by estimating the square root. The number 250 lies between the perfect square numbers 225 (15^2) and 256 (16^2). Therefore, you can estimate that the square root of 250 is approximately between 15 and 16.
2. Use a method like the Babylonian method or long division to iteratively improve the estimation. Let's use the Babylonian method.
Start with an initial guess, such as the average of 15 and 16: (15 + 16)/2 = 15.5
Divide 250 by the guess: 250 / 15.5 ≈ 16.13
Take the average of the guess and the result of the division: (15.5 + 16.13)/2 ≈ 15.815
Repeat the division and average steps until you achieve the desired level of accuracy. For simplicity, let's perform one more iteration.
250 / 15.815 ≈ 15.811
(15.815 + 15.811)/2 ≈ 15.813
3. Repeat step 2 as necessary to refine the estimation to the desired level of accuracy. Continuing this process will eventually converge to the actual square root of 250.
To find the square root of 250, follow these steps:
1. Start by estimating the square root. In this case, since 250 is between 225 (15 squared) and 256 (16 squared), we can estimate that the square root of 250 is somewhere between 15 and 16.
2. Use a method called the Babylonian method to find a closer approximation of the square root. Let's assume our initial estimate is 15.
3. Divide 250 by the estimate (15) to get a new estimate: 250 / 15 = 16.67.
- Take the average of the new estimate (16.67) and the original estimate (15): (16.67 + 15) / 2 = 15.835.
4. Repeat step 3 by dividing 250 by the new estimate (15.835): 250 / 15.835 = 15.812.
- Take the average of the new estimate (15.812) and the previous estimate (15.835): (15.812 + 15.835) / 2 = 15.824.
5. Continue this process of dividing 250 by the new estimate and taking the average until you reach a desired level of accuracy.
By repeating steps 3 and 4, you can continue to refine your estimate until you reach a desired level of accuracy. Iterating through these steps, you can find that the square root of 250 is approximately 15.8114.