Square+Root

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Here's how you find the square root of a number.

Take a number: 2, let's say. We know the square root is 1.414..., right? Now let's prove it.

√2 Steps: 1. Find the number, that squared, is the maximum whole number under 2. (1) 2. Subtract this new number from the number you're square-rooting and add two zeros to the end.. 3. Double the one (so 2), and remember to keep the one where you know you won't forget it!

So √2 so far looks like this: Answer = 1.--- 100 hihihihihihihihihihihihi 2

4. Find the single digit //x// that satisfies the following: 2//x// (this is a two digit number with 2 in the tens place) times //x// is the greatest integer less than 100.

In this case, it's four.

Answer = 1.4-- 100 hihihihihihihihihihihihi 24 __-(24*4) (or 96)__ 4

5. Add two zeros to the newly made four, and then you can erase the 24.

Answer = 1.4-- 100 hihihihihihihihihihihihi __-(24*4) (or 96)__ 400

6. Do it again! Double the answer and remove the decimal.

Answer = 1.4-- 100 hihihihihihihihihihihihi 28 __-(24*4) (or 96)__ 400

7. Figure out what //x// equals in this case. (1)

Answer = 1.41- 100 hihihihihihihihihihihihi 281 __-(24*4) (or 96)__ 400 __-(281*1) (or 281)__ 119

8. Erase the 281 and do it another time!

Answer = 1.41- 100 hihihihihihihihihihihihi 282_ __-(24*4) (or 96)__ 400 __-(281*1) (or 281)__ 11900 __-(282//x//*//x//)__

__9. Fill in the blanks...__

__Answer = 1.41-__ __100 hihihihihihihihihihihihi 2824__ -(24*4) (or 96) __400__ -(281*1) (or 281) __11900__ -(2824*4)__ ...

Keep going!