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square roots

square roots

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what's the msot ingenious method of finding square roots that you have come accross?

if you take a pendulum and measure the time for x swings, then half the length and measure the time for x swings, then divide the first time by the second - you have 3^(1/2) ! (that's an exclamation mark, not a factorial by the way...)

to find root 3, third the length, root 4 quater it etc...! although it only works accuratly without dampening i think...anwyay, anyone got any more random ways?...

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Originally posted by genius
what's the msot ingenious method of finding square roots that you have come accross?

if you take a pendulum and measure the time for x swings, then half the length and measure the time for x swings, then divide the first time by the seco ...[text shortened]... ut dampening i think...anwyay, anyone got any more random ways?...
Wow. That is amazing.

The only one I can think of is by measuring the long side of an isosceles right triangle.

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Originally posted by genius
- you have 3^(1/2)
Typo alert!

Do we need a pendulum (whose accuracy depends on theta)?

Drop an apple from a tree.
Drop it again from another tree twice as big/small.
Divide one time by the other.
(Of course, wind resistance will be a factor.)

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Originally posted by THUDandBLUNDER
Typo alert!

Do we need a pendulum (whose accuracy depends on theta)?

Drop an apple from a tree.
Drop it again from a another tree twice as big/small.
Divide one time by the other.
(Of course, wind resistance will be a factor.)

This sounds like a lot of tree climbing 🙂 🙂 🙂

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you could just look at the formula for the time period of a pendulum and you'd know that anyway. the best way of finding square roots is using matrices.

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well-yeah-that's where i got it from...😛

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Originally posted by valdez
you could just look at the formula for the time period of a pendulum and you'd know that anyway. the best way of finding square roots is using matrices.
How do you use matrices to find square roots? Sounds interesting.

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Originally posted by THUDandBLUNDER
Typo alert!

Do we need a pendulum (whose accuracy depends on theta)?

Drop an apple from a tree.
Drop it again from another tree twice as big/small.
Divide one time by the other.
(Of course, wind resistance will be a factor.)

Do the trees have square roots?