你好!已知m,n满足 n = [ √(m² - 4) + √(4 - m²) + 2 ] / (m-2)求 √(mn)解:被开方数为非负数m² - 4 ≥ 0 且 4 - m² ≥ 0m² ≥ 4 且 m² ≤ 4∴ m² = 4m = ±2又 m-2≠0 即 m ≠ 2∴ m = - 2n = (0+0+2)/(-2-2) = - 1/2√(mn) = √[(-2)*(-1/2)] = 1