Question

Find the square root by long division method.
95481

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8 years ago

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To find the square root of 95481 by division method:

Pair the digits moving away (to the left) from the decimal point:

9 54 81.

Take the nearest square root less than or equal to the left hand string (in this case 9)

3; subtract and then bring down the next two digits (54).

….3_____

….|9 54 81.

….9

….054

Double the root so far (2 * 3 = 6) and find a, such that (6a * a) is as near as possible below or equal to 54.

60 * 0 = 0 (since 61 * 1 is too big); subtract and then bring down the next two digits (81).

…..3_0____

…..|9 54 81.

…..9 00 00

60.....54

.*0....0

….....54 81

Double the root so far (2 * 30 = 60) and find a, such that (60a * a) is as near as possible below or equal to 5481.

609 * 9 = 5481 exactly

….3_0_9__

….|9 54 81.

….9 00 00

60....54

…….0

609..54 81

…….54 81

………....0