Answer:
With the Babylonian method 
and 
.
Step-by-step explanation:
- To find the square root of 600, do the following:
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.
- To find the square root of 235, do the following:
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 
Since a parabola is a function that is at the same height at two point except one that is in the middle. so the middle value is 4 and would be the max height.
It is a geometric sequence because it has a ratio 12/4=3, 36/12=3
7/8 minus1/4 minus 1/2
7/8 - 1/4 - 1/2 =
(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =
7/8 - 2/8 - 4/8 =
(7 - 2 - 4)/8 =
1/8
the answer is 1/8
