Helping students gain understanding and self-confidence in algebra.
Luke53 wrote:Could anyone tell me the square root of 29,929? I can't seem to find it.
First make an estimate of what the square root should be: 150^2= 22500, 200^2 =40000 so, the square root must be between 150 and 200.
Let's say it's 150.
29929 / 150 = 199.52 so (199.52 + 150) / 2 = 174.76 doing te same again with the new found number gives: 29929 / 174,76 = 171.25 repeating this with this new found number gives
29929 / 171.25 = 174.76 so (174.76 + 171,25) / 2 = 173.005
The the square root of 29929 must be around 173,(it is 173).
This is what the book says.
Luke53 wrote:it looks like you are using the bisection method. If you want a quicker method you can try newton's iteration
Thanks, but I think both methods are pretty useless, only if one still has got a calculator without the "sqrt" function. Doing this without a calculator is not practical, there are simply too many calc's to make. I'd prefer doing this the old fashion way, (if doing it without calculator). Anyway, learned a new method for doing this.