Opening the square root of 2 is very simple mental arithmetic

Last simple number, 123 ^ 2 = 15 129, open house this way we see how:

1'51'29 we rewrite the mean 15 129 from right to, we just do 1 of 2 groups. there are 3 groups 1,51,29.

Ok, with:

1'51'29: I see 1 ^ 2 = 1, the first after the opening of the base is the number 1 (the smallest bottle up ko> 1, we choose them)

Take the first group minus 1: 1-1 = 0

Lower down we were the 2nd group number: 051

Speaking about the results open house, the first number is the number 1, the 1 to 2 of 2 we are. I should add that the largest number x: 2x * x <= 51 (2x bricks on top)

easy to see x = 2, so the 2nd digit after the opening of the base is 2.

Get: 051-22 * 2 = 7.

Lower down the 3rd group, the number 729.

The result of the open house is number 12 now ... What's something right?

I am 12 with 2 people is 24, we again find that x: 24x * x <= 729 and x largest.

Easy to find x = 3 and 243 * 3 = 729

So the 3rd digit is 3, resulting in 15 129 √ = 123

The time now is base 2 √ √ 2 = 2.00

We are 2 groups of 00 and 2.

1 ^ 1 = 1 <2 2="" but=""> 2, so we choose the number 1, the first digit of the result is allowed to base 1.

2-1 = 1, 2 to be the group lowered 100.

1 * 2 = 2, so that 2x to find x * x <= 100, easy to find x = 4 (24 * 4 = 96), so that the 2nd digit is 4, resulting in approximately 1.4 .. .

Come the end of the group, but we can add as many groups as 00 depending í = 2.000000 ... 2.00 right?

Every fall, minus, duplicated open house, find x .. .