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Square Root of 2 Program
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Square Root of 2 Program

MediumPython

Problem

Write a program that would find the square root of 2 to 7 decimal places.

Do not use a built-in square-root function. Implement the computation using an iterative numerical method, such as binary search or Newton's method. Define sqrt_two(places=7), returning the result as a string rounded to exactly places decimal places; the required call uses the default value.

Constraints

  • 0 <= places <= 15
  • The input represents the number of decimal places in the output
  • Do not use math.sqrt, exponentiation with a fractional exponent, or another square-root library
  • Return exactly places digits after the decimal point

Function Signature

def sqrt_two(places=7):
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