Question

$4 \sqrt{85}$
​

Answer 1

Now divide 85 by  

9

to get  

9.4444

(to 4 places)

Average the two numbers  

9

and  

9.4444

9

+

9.4444

2

=

9.2222

Repeat:

85

÷

9.2222

=

9.2169

(rounded to 4 places)

Average:  

9.2222

+

9.2169

2

=

9.2196

Repeat:

85

÷

9.2196

=

9.2195

(rounded to 4 places)

Average:  

9.2196

+

9.2195

2

=

9.2196

√

85

≈

9.2196