Description
How do can you find the distance between square root 2 and -3 ?
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!
Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
The Book Thief
by Markus Zusak
No Exit
by Taylor Adams
Broke Millennial: Stop Scraping by and Get Your Financial Life Together
by Erin Lowry
The Elegant Universe
by Brian Greene
Catch-22
by Joseph Heller
What Happened
by Hillary Clinton
The Road
by Cormac McCarthy
The Curious Case of the Dog in the Night Time
by Mark Haddon
Breakfast at Tiffanys
by Truman Capote