SOLUTION: What is simple solution of root 5 Wht is way to solve that prob rasily

Question 901036: What is simple solution of root 5
Wht is way to solve that prob rasily
Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!

A simple way to find r is try to take averages and pick the approximation that gives result of 5 as close as you want. Start with average of 2 and 3 and test this.

.
--- too high.

Find average of 2 and 5/2.
.
--- too low.

Try between 2.25 and 5/2.
(9/4+5/2)/2=(9/4+10/4)/2=19/(4*2)

-
----too high
-
Try 19/10.
----too low

Next you can try something between 19/10 and 19/8,
maybe try 19/9.
----too low.

You would want between 19/9 and 19/8;
Find their average, and test.
Average of 38/18 and 38/16....
continue this process if you want...

Another way is to use table of logarithms; which could be easy but "simple" depends on how comfortable you are with doing this.

Actually, 2.24 is fairly close to

and

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