- (sqrt (5+) sqrt (3)) / (sqrt (3+) sqrt (3+) sqrt (5)) - (sqrt (5-) sqrt (3)) / (3-) sqrt (5))?
2/7 우리는 A = (sqrt5 + sqrt3) / (sqrt3 + sqrt3 + sqrt5) - (sqrt3 + sqrt3-sqrt5) = (sqrt5 + sqrt3) / (2sqrt3 + sqrt5) - (sqrt5 (sqrt5 + sqrt3) / (sqrt5 + sqrt3) / (2sqrt3 + sqrt3) / (2sqrt3-sqrt3) / (2sqrt3-sqrt3) (2sqrt3 + sqrt5)) / (2sqrt3 + sqrt5) (2sqrt3 + sqrt5) = (2sqrt15-5 + 2 * 3- sqrt15) - (2sqrt15 + 5-2 * 3sqrt15) (2sqrt15) - (2sqrt15) -5 + 2 * 3 + 취소 (sqrt15)) / (12-5) = ( (sqrt3 + sqrt (3 + sqrt5)) 및 (sqrt3 + sqrt (3-sqrt5)) 인 경우, 해답은 변경 될 것이다.
당신은 어떻게 단순화합니까 (1 / sqrt (a-1) + sqrt (a + 1)) / (1 / sqrt (a + 1) -1 / sqrt (a-1)) div sqrt (a + 1) / ( (a-1) sqrt (a + 1) - (a + 1) sqrt (a-1)
(1 / sqrt (a-1) + sqrt (a + 1)) / (1 / sqrt (a + 1) -1 / sqrt (a-1)) / (a-1) sqrt (a + 1) - (a + 1) sqrt (a + 1) 1) + sqrt (a + 1)) / (sqrt (a-1) -sqrt (a + 1)) / (sqrt (a + 1) cdot sqrt (a- 1) cdot sqrt (a + 1) -sqrt (a + 1) cdot sqrt (a + 1) sqrt (a-1))) = color ( (a + 1) -sqrt (a + 1)) / (sqrt (a + 1) cdot sqrt (a + 1) (a + 1) -sqrt (a + 1))) = 컬러 (적색) (a + 1) - (sqrt (a + 1) cdot sqrt (a-1) (a + 1) = sqrt (a + 1) cdot sqrt (a-1) (sqrt (a-1) -sqrt (a + 1) (a + 1) -sqrt (a + 1))) xx ((a + 1) + sqrt (a + 1) (a + 1)) / 색 (적색) (((1 + 1))) (a-1)) / (sqrt (a-1))) xx ((sqrt (a + 1) cdot sqrt (a-1) (a + 1) cdot sqrt (a-1)) xx s
1 / (sqrt (144) + sqrt (145)) + 1 / (sqrt (145) + sqrt (146)) + ... + 1 / (sqrt (168) + sqrt (169))
1 첫 번째 유의 사항 : 1 / (sqrt (n + 1) + sqrt (n)) = (sqrt (n + 1) -sqrt (n)) / ((sqrt (n + 1) + sqrt = (sqrt (n + 1) -sqrt (n)) 컬러 (백색) (1 / (sqrt (n + 1) + sqrt (n) (n + 1) -sqrt (n) So : 1 / (sqrt (144) + (n + 1) (sqrt (145) + sqrt (146)) + ... + 1 / (sqrt (168) + sqrt (169)) = (sqrt (145) -sqrt (144)) + (sqrt (146) -sqrt (145)) + ... + (sqrt (169) -sqrt (168)) = sqrt (169) -sqrt (144) = 13-12 = 1