Using the babylonian method find √600 √235.

how?

With the Babylonian method and .

Step-by-step explanation:

1. Make an initial guess:  Because and you can start with as your initial guess.

2. Apply the formula:

where

The number is a better approximation to

3. Iterate until convergence:

For this apply the formula:

Convergence is achieved when the digits of and agree to as many decimal places as you desire.

Because and agree to six decimal places. we can say that an estimate for .

You can compare with the value that WolframAlpha gives you which is you can see that it agrees to six decimal places.

1. Make an initial guess:  Because and you can start with as your initial guess.

2. Apply the formula:

where

3. Iterate until convergence:

Apply the formula:

Because and agree to six decimal places. We can say that an estimate for .

WolframAlpha gives you

i would need to see the dot plot : )