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