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Create newton_method_sqrt.py #18

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11 changes: 11 additions & 0 deletions newton_method_sqrt.py
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def newton_sqrt(number, iterations=10):
# Step 1: Initialize the initial guess for the square root (x).
x = 1.0

# Step 2: Perform the Newton-Raphson method for a specified number of iterations.
for _ in range(iterations):
# Step 3: Calculate the new approximation for the square root using the formula.
x = 0.5 * (x + number / x)

# Step 4: Return the final approximation for the square root.
return x