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It is only an approximation to the square root of 35 - the square root of 35 is an irrational number.

Besides, 5.619 is not approximately the square root of 35; the square root of 35 is approx 5.916 (I suspect a typo in the question).

Two ways:

  • Square it:
5.916 x 5.916 = 34.999056

≈ 35

  • Calculate the square root of 35:
.............. 5 . . 9 . 1 . 6 . 0

.......... ---------------------

........5 | 35 . 00 00 00 00

............ 25

............ ---

... 109 | 10 . 00

.............. 9 . 81

............ -------

. 1181 | ..... 19 00

.................. 11 81

.................. ------

.11826 | ...... 7 19 00

.................... 7 09 45

.................... --------

......................... 9 55 00

So to 3 dp, √35 ≈ 5.916

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12y ago

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