How do I find a square root of a number, without a calculator?
6 answers
Oh sorry, Its math
How do I find the estimate of a square root of a number that is not a perfect square without using a calculator.
Newton's Method
https://www.school-for-champions.com/algebra/square_root_approx.htm#.WqalredG3IU
https://www.school-for-champions.com/algebra/square_root_approx.htm#.WqalredG3IU
for more exhaustive derivation:
https://math.mit.edu/~stevenj/18.335/newton-sqrt.pdf
https://math.mit.edu/~stevenj/18.335/newton-sqrt.pdf
This site has a pretty good explanation.
https://www.homeschoolmath.net/teaching/square-root-algorithm-example.php
It is based on the fact that (a+b)^2 = a^2 + 2ab + b^2
extending the logic, you can work out (as I did many moons ago) how to extract cube roots using the fact that
(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
have fun.
https://www.homeschoolmath.net/teaching/square-root-algorithm-example.php
It is based on the fact that (a+b)^2 = a^2 + 2ab + b^2
extending the logic, you can work out (as I did many moons ago) how to extract cube roots using the fact that
(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
have fun.
Ok my name is Alexis as well, so, yeah, I’m a different person. You just find out what times itself would equal that number that you’re finding the square root of. For example, the square root of 9 is 3, because 3 times itself is 9. The square root of 16 is 4, because 4 times itself is 16. And the square root of 25 would be 5, cause 5 times itself is 25. I think you get the idea. Hope I could help
1 answer