Use Newton's Method to approximate the given number correct to eight decimal places.

I know how to use Newton's Method but is there a faster way, a shortcut, to find it or am I going to have to start from ?

am I going to have to plug in numbers until I get two to match eight decimals?

Second Problem:

Use Newton's Method to approximate the indicated root of the equation correct to six decimal places.

The positive root of

I know how to do Newton's Method but these two were giving me problems.