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√385

385 is not a perfect square number, but it is too close to 400 so that its square root would be close to 20, that is ≥ 19.5...

To find it more precisely, you need to work a little bit.

√385 = 19. ...

1. 19; double 1 so 19 becomes 29.

2. 29*9 = 261, subtract it from 285 (385 - 100).

285 - 261 = 24, add 2 zeros to 24; 2400 (we add pairs of zeros after the decimal point)

2. 29; double 9, so 29 becomes 38

Now think for a number that will multiply 38_ so that the product to be close to 2400

386*6 = 2316 and 2400 - 2316 = 84, add 2 zeros to 84; 8400

√385 = 19.6 ...

3. 386; double 6, so 386 becomes 392

Now think for a number that will multiply 392_ so that the product to be close to 8400

3922*2 = 7844 and 8400 - 7844 = 556, add 2 zeros to 556; 55600

√385 = 19.62 ...

If you want more numbers, repeat doing the same thing continuously.

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Q: What is the largest square root of 385?
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