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How do you compute the square root without using calculator? - Answers

There are several methods. An easy one is trial-and-error: keep finding the square of several numbers; if the result is too high, choose a lower number, if it is too low, choose a higher number. Repeated division works much faster. Let's assume you want the square root of 2. Your initial estimate for the square root is 1. You divide 2 / 1 = 2. Take the average of the last two numbers, 1.5. This is the next estimate. Repeat: Divide 2 / 1.5 = 1.33... The average of the last two numbers is about 1.4. Repeat, using this as your next estimate. The number of significant figures doubles with each repetition.



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How do you compute the square root without using calculator? - Answers

https://math.answers.com/other-math/How_do_you_compute_the_square_root_without_using_calculator

There are several methods. An easy one is trial-and-error: keep finding the square of several numbers; if the result is too high, choose a lower number, if it is too low, choose a higher number. Repeated division works much faster. Let's assume you want the square root of 2. Your initial estimate for the square root is 1. You divide 2 / 1 = 2. Take the average of the last two numbers, 1.5. This is the next estimate. Repeat: Divide 2 / 1.5 = 1.33... The average of the last two numbers is about 1.4. Repeat, using this as your next estimate. The number of significant figures doubles with each repetition.



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https://math.answers.com/other-math/How_do_you_compute_the_square_root_without_using_calculator

How do you compute the square root without using calculator? - Answers

There are several methods. An easy one is trial-and-error: keep finding the square of several numbers; if the result is too high, choose a lower number, if it is too low, choose a higher number. Repeated division works much faster. Let's assume you want the square root of 2. Your initial estimate for the square root is 1. You divide 2 / 1 = 2. Take the average of the last two numbers, 1.5. This is the next estimate. Repeat: Divide 2 / 1.5 = 1.33... The average of the last two numbers is about 1.4. Repeat, using this as your next estimate. The number of significant figures doubles with each repetition.

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      There are several methods. An easy one is trial-and-error: keep finding the square of several numbers; if the result is too high, choose a lower number, if it is too low, choose a higher number. Repeated division works much faster. Let's assume you want the square root of 2. Your initial estimate for the square root is 1. You divide 2 / 1 = 2. Take the average of the last two numbers, 1.5. This is the next estimate. Repeat: Divide 2 / 1.5 = 1.33... The average of the last two numbers is about 1.4. Repeat, using this as your next estimate. The number of significant figures doubles with each repetition.

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