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√𝟐 on the Number lineRepresent √𝟐 on Number LineLet’s draw the number lineHence, point P is √𝟐Using Pythagoras TheoremOB2 = OA2 AB2OB2 = 12 12OB2 = 2OB = √2Example 3Locate 2 on the number lineFor drawing 2 we consider Pythagoras
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(Math: approximate the square root) There are several techniques for implementing the sqrt method in the Math class. One such technique is known as the Babylonian method. It approximates the square root of a number, n, by repeatedly performing a calculation using the following formula: nextGuess = (lastGuess n / lastGuess) / 2 When nextGuess and lastGuess are almost identical, nextGuess is the approximated square root. The initial guess can be any positive value (e.g., 1). This value will be t
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