Introduction:
The square root is the radical form of the method that are used in the calculation mathematical problems. The symbol for the square root is meant by root √. This could be in the form to describe their nature of working with the square root formula. There are numerous methods are available in the rooting, they are square (second) root `sqrt(x)` , cube (Third) root `root(3)(x)` up to nth root `root(n)(x)` . Here we are going to see about the formula method to solve the square root. There are number of methods available to solve square root. Here we are using newton's method to solve the square root formula of 180 and the problem solved.
Procedure for Square Root by Newton's Method:
- Form the equation from the given function and differentiate with respect to x.
- Assume the value for the first initial value for x as x0.
- And substitute the x0 value in the formula to find the value for x1.
- Repeat the above step up to the required result for the given function we get.
Formula for calculating the square root using the newton's method:
Let the equation for the given function is f(x). Find the first derivative for the equation.
`sum_(n=0)^N x_(n+1) ` = `sum_(n=0)^N ( x_n - f(x_n)/(f'(x_n))) `
Assume an value for the initial value for x0
Hope you liked the above explanation. Please leave your comments, if you have any doubts.
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