Use the Babylonian method to approximate the given square root to the nearest thousandth.
-$\sqrt{600}$
A) 24.454
B) 24.474
C) 24.495
D) 24.597

Question

Quizplus · Accepted Answer

The Babylonian method (or Heron's method) is an iterative algorithm to approximate square roots. Starting with an initial guess, you repeatedly average the guess with the quotient of the number and the guess. For $\sqrt{600}$, starting with a guess of 25, the iterations converge to approximately 24.495.

Use the Babylonian Method to Approximate the Given Square Root 600\sqrt{600}600​

Use the Babylonian Method to Approximate the Given Square Root $\sqrt{600}$