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#| BEGIN (Write your solution here) |#
(define (square x)
(* x x)
)
(define (average x y)
(/ (+ x y) 2)
)
(define (improve guess x)
(average guess (/ x guess))
)
(define (relatively-good-enough? guess x)
( < (/ (abs (- (square guess) x)) guess) 0.0000001)
)
(define (sqrt-iter guess x)
(if
(relatively-good-enough? guess x)
guess
(sqrt-iter (improve guess x) x)
)
)
(define (square-root x)
(sqrt-iter 1.0 x)
)
#| END |#