What is the distance between square root of 2 and -3 and how do you find it?

User Generated

znwbyylenapure

Mathematics

Description

How do can you find the distance between square root 2 and -3 ?

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Hi there! Thank you for the opportunity to help you with your question!

The distance between square root of 2 and -3 is the irrational number, given by their difference:


The question above is not clear, but if you want to find it numerically, you could be to create a polynomial which has this solution, say 

If you set the polynomial above equal to zero, you will see that sqrt(2) + 3 [the number we're interested] is a solution.

And now, we can use a numerical method like Newton's method to find it numerically. Newton's method is given by:

If we take x_0 to be equal to 5: then we would have:

x0 = 5

x1 = 4.7143

x2 = 4.5683

x3 = 4.4934

x4 = 4.4549

...

The numerical value for sqrt(2) + 3 is 4.4142, which the method will slowly tend to.

Hope this helps



Please let me know if you need any clarification. Always glad to help!


Anonymous
Really helpful material, saved me a great deal of time.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags