Approximating radicals (a) Use Newton’s Method and the function               f(x) = xn − a to obtain a general rule for approximating x = n√a. (b) Use the general rule found in part (a) to approximate 4√6 and 3√15 to three decimal places

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 62E
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Approximating radicals (a) Use Newton’s Method and the function               f(x) = xn − a to obtain a general rule for approximating x = n√a. (b) Use the general rule found in part (a) to approximate 4√6 and 3√15 to three decimal places

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