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# How to manually find a square root ?

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Find the square root of 46656 number

• ## Math

• asked 3 years ago
• B Butts

### 1Answer

0

First, divide the number to be square-rooted into pairs of digits, starting at the decimal point. That is, no digit pair should straddle a decimal point. (For example, split 46656 into "4 66 56")

Then you can put some lines over each digit pair, and a bar to the left, somewhat as in long division.

```+--- ---- ----
| 4   66   56```

Find the largest number whose square is less than or equal to the leading digit pair. In this case, the leading digit pair is 4; the largest number whose square is less than or equal to 4 is 2.

```       2    1    6
+--- ---- ----
2  | 4   66   56
|-4
+----
41  | 0   66
|-    41
+--------
426  |     25   56
|-    25   56
+-------------
0```

When the difference is zero, you have an exact square root and you're done. Otherwise, you can keep finding more decimal places for as long as you want.

• answered 3 years ago
• Community  wiki

### Your Answer

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