Can the square root of a high number i.e. 850 be worked out manually without a calculator.?
How to manually find a square root Here is an almost-forgotten art: one that, with the advent of electronic calculators, will likely survive to the twenty-first century only on paper and in the memories of oldsters. What is the number you want to find the square root of? Here’s one we’ll use: 46656 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 1225 into “12 25” rather than “1 22 5”; 6.5536 into “6. 55 36″ rather than”6.5 53 6”.) 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. Put that number on the left side, and above the first digit pair. 2 +— —- —- 2 | 4 66 56 Now square that number
