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Square Root Of 3

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User: paul
Square Root  Of  3
The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. It is more precisely called the principal square root of 3, to distinguish it from the negative number with the same property. It is denoted by

\sqrt{3}.
The first sixty digits of its decimal expansion are:

1.73205 08075 68877 29352 74463 41505 87236 69428 05253 81038 06280 5580... (sequence A002194 in OEIS)
The rounded value of 1.732 is correct to within 0.01% of the actual value. A close fraction is \tfrac{97}{56} (1.732142857...).

Archimedes reported (1351/780)2 > 3 > (265/153)2,[citation needed] accurate to 1/608400 (6-places) and 2/23409 (4-places), respectively.

The square root of 3 is an irrational number. It is also known as Theodorus' constant, named after Theodorus of Cyrene.

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