Estimate the Value of the Radical by Using Three Iterations

question 30

Short Answer

Estimate the value of the radical by using three iterations of the Newton-Raphson method with the indicated initial guess for the function. Round your answer to six decimal places, if necessary.
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Definitions:

Bayeux Tapestry

A medieval embroidery depicting the events leading up to the Norman Conquest of England in 1066, notable for its historical and artistic significance.

Knights Templar

A medieval Christian military order that became prominent during the Crusades, known for their banking practices and skilled fighters.

First Crusade

The initial campaign of the Crusades (1096-1099), launched to reclaim Jerusalem and other holy lands from Muslim control.

Scriptorium

A room in medieval European monasteries dedicated to the copying, writing, and illuminating of manuscripts.