tips-sqrt

  sqrt の近似

ルート（√）の近似

• https://www.mirai-kougaku.jp/laboratory/pages/240913.php

√2 の近似

x(n+1)=(xn/2)+(1/xn)

x(0) = 1 から
x(1) = (1/2)+(1/1)
x(2) = (3/4)+)(1/3)
x(3) = (17/24)+(12/17)
x(4) = (577/816)+(408/577)

( x(0) = 3 からも計算可能 )

√3

x(n+1) = (xn/2)+(3/(2*xn))

√5

x(n+1) = (xn/2)+(5/(2*xn))