Вправи 501 - 595 » 510

Спростіть вираз: 1) 4√700 – 27√7 = 4√(7•100) – 27√7 = 4 • 10√7 – 27√7 = 40√7 – 27√7 = 13√7; 2) √75 – 6√3 = √(25•3) – 6√3 = 5√3 – 6√3 = –√3; 3 2√50 – 8√2 = 2√(25•2) – 8√2 = 2 • 5√2 – 8√2 = 10√2 – 8√2 = 2√2; 4) 5√12 – 7√3 = 5√(4•3) – 7√3 = 5 • 2√3 – 7√3 = 10√3 – 7√3 = 3√3; 5) 3√72 – 4√2 + 2√98 = 3√(36•2) – 4√2 + 2√(49•2) = 3 • 6√2 – 4√2 + 2 • 7√2 = 18√2 – 4√2 + 14√2 = 28√2; 6) 1/3 √108 + √363 – 2/9 √243 = 1/3 √(36•3) + √(121•3) – 2/9 √(81•3) = 1/3 • 6√3 + 11√3 – 2/9 • 9√3 = 2√3 + 11√3 – 2√3 = 11√3.