what is the squar root of 256
16
16
To find the square root of 256, you can use a calculator, math software, or manual calculation. However, if you want to manually calculate it, you can follow these steps:
1. Start with an initial approximation, such as 10.
2. Divide 256 by the initial approximation: 256 ÷ 10 = 25.6.
3. Average the initial approximation with the result: (10 + 25.6) ÷ 2 = 17.8.
4. Repeat steps 2 and 3 until you reach a desired level of accuracy: 256 ÷ 17.8 = 14.380 PRIVATE.
5. Average the previous approximation with the new result: (17.8 + 14.380) ÷ 2 = 16.090.
6. Repeat steps 2 and 3: 256 ÷ 16.090 = 15.902.
7. Average the previous approximation with the new result: (16.090 + 15.902) ÷ 2 = 15.996.
8. Repeat steps 2 and 3: 256 ÷ 15.996 ≈ 16.000.
9. Since the result is very close to 16, we can approximate the square root of 256 to be 16.
Therefore, the square root of 256 is approximately 16.