# how do we find the long division method of root 3?can u plzz explain the answer wid the picture (of long division method)?plz..... need the answer really fast b4 oct 1st......

Dear Student!

The square root of 3 can be calculated using long division method.

 1.732 1×1 –1 27× 7 200– 189 343  × 3 1100 – 1029 3462    ×2 7100   – 6924 176

Thus, (Approx)

Cheers!

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The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. It is more precisely called theprincipal square root of 3, to distinguish it from the negative number with the same property. It is denoted by

The first sixty significant digits of its decimal expansion are:

1.73205 08075 68877 29352 74463 41505 87236 69428 05253 81038 06280 5580... (sequence

The rounded value of 1.732 is correct to within 0.01% of the actual value. A close fraction is  (1.7321 42857...).

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

It can be expressed as the continued fraction [1; 1, 2, 1, 2, 1, 2, 1, ...] (sequence , expanded on the right.

It can also be expressed by generalized continued fractions such as

which is [1;1, 2,1, 2,1, 2,1, ...] evaluated at every second term.

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