MAT 300-02L                         Homework Sheet 3

Spring 2006

 

 

Assignment 8

 

A.     p. 26
13, 14

B.     Use the Babylonian method to find  to two iterations. 

 

Assignment 9

 

Consider the following alternative method of computing square roots.

 

Suppose , where a and b are positive.  Since ,
if , then .  Hence we can approximate the square root of N by averaging the two numbers.  I.e., 
                                    .

Use this formula to approximate  and .
Compare these answers to the ones that we computed in class using the other method for computing square roots.