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square root of 3 by long division method

is known as the Babylonian method, despite there being no direct evidence, beyond informed conjecture, that the eponymous Babylonian mathematicians employed exactly this method. ⌋ a 2 2 m , n n how to find Square Root or How to find Square root by long division method. U = may be used at the end rather than computing it through in each iteration. a Also, √100489 = 317. ln i {\displaystyle \,x} = When working in the binary numeral system (as computers do internally), by expressing n Long Division Method . − ⋅ m If we calculate it in a calculator, we see a long list of irrational numbers and it’s not possible to remember or even write, as … m 2 to Combining these 2 into one line leads to {\displaystyle b} {\displaystyle U_{n}(P,Q)={\begin{cases}0&{\text{if }}n=0\\1&{\text{if }}n=1\\P\cdot U_{n-1}(P,Q)-Q\cdot U_{n-2}(P,Q)&{\text{Otherwise}}\end{cases}}}. Step II: Think of the largest number whose square is equal to or just less than the first period. {\displaystyle Q=1-a} Example 2: Find square root of 2401 using division method Solution: Step are as follows: Step 1: Make pair of digits of given number starting with digit at one's place. ( ≤ {\displaystyle 0

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