How do you approximate #sqrt(17.02)#?
3 Answers
Explanation:
Possibly NOT the intended method since this was asked under "Using Newton's Method"
We could take
We know that
so lets suppose our answer is
Since
So as an initial estimate for
in place of
(I used a calculator from this point on)
Testing this value as the root of
which (to my mind) is close enough
Explanation:
If you wanted the answer using Newton's Method; here it is
as the product of some iterative expressions in a spreadsheet:
4.1255302699 to 9 Decimal Places
Explanation:
Let
If we start with
So we see that very rapidly the method converges to a solution 4.1255302699 to 9 Decimal Places