Question

find the approximate value of square root of 5 correct to two places of decimal explain me step by step​

Answer 1

To find the approximate value of the square root of 5 correct to two decimal places, we can use the Newton-Raphson method. The approximate value is 2.24.

Step-by-step explanation:

To find the approximate value of the square root of 5 correct to two decimal places, we can use a numerical method known as the Newton-Raphson method. The steps are as follows:

1. Guess an initial estimate for the square root of 5.
2. Use the formula: x1 = (x0 + (5 / x0)) / 2 to refine the estimate, where x0 is the initial estimate and x1 is the new estimate.
3. Repeat step 2 until the desired precision is achieved.

By following this process, we can find the approximate value of the square root of 5 correct to two decimal places, which is approximately 2.24.

Learn more about Approximating square roots