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Du Plantier's Square Root Extractor

move along x axis

move along y axis

The square root of 9 is 3; the approximation is 3.

This Demonstration shows square root extraction based on the identity

(n+1)

(n-1)

=4n

. For example, to find the square root of 9, move along the

axis to

9-1=8

and along the

axis until the

9+1=10

mark on the sloping line is on the

axis. The

intercept of the sloping line will be

if measured in the same units as the

axis and the sloping line. If we scale the

axis in a

1:2

ratio with the

axis, then the

intercept will be at

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