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Square Roots without a Calculator

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Finding Square Roots without a Calculator, a selection of answers from the Dr. Math archives.

Square Roots Without a Calculator - Dr. Math FAQ
How do you find the square root of a number by hand? What about cube roots?

Square roots by hand: Divide and Average
How do you calculate square roots by hand?

Longhand Square Roots
How do you find the square root of any number? Is there an easy formula?

Finding Square Roots
Can you explain why the algorithm for finding square roots works, without using algebra?

Computing Square Roots Manually
Using the bisection method to compute square roots manually.

Newton's Method and Continued Fractions
Can you clarify some points on Newton's method of finding square roots without a calculator, and on the continued fraction algorithm (CFA)?

Return to
Middle School Square Roots
High School Square/Cube Roots
Index of Selected Answers to Common Questions

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