Roots decimals

[OldGrantonian]

@albinoblanke

This morning I calculated the square root of 4692 to 3 decimal places; 68,498.

Wow! Can you describe your steps please.

You could use the following excellent post by @Kinma as a model:

Think! There is always an easier way

After all the other theoretical threads, let’s do something practical. Sometimes the best way of multiplication might elude one for a minute. Today, I had to calculate 52 times 45. At first I thought, well, the numbers are close together, so the ‘base’ system might yield results fast. If we would take 50 as the base, here is how this would play out: (50 + 2) * (50 - 5) = 50 * 50 + 50(2 - 5) -2 * 5 = 2500 - 150 - 10 = 2340 But I did not do that. All of a sudden I realised I could re…

The post number is #24

BTW: I can add two numbers in my head at blinding speed, as long as each number contains less than two digits. So @Kinma’s description blew me away.

I enjoyed working through post #24 in the same way as I would enjoy replaying a famous chess game, or a World Championship bridge hand.

Thanks.