Estimate the Value Of $\sqrt [ 3 ] { 5 }$

question 25

Multiple Choice

Estimate the value of $\sqrt [ 3 ] { 5 }$ by using three iterations of Newton's method to solve the equation $x ^ { 3 } - 5 = 0$ with initial estimate $x _ { 0 } = 2$ . Round your final estimate to four decimal places.

• A) \(2.2361\)
• B) \(2.4134\)
• C) \(1.71\)
• D) \(1.8532\)