Вправи 501 - 595 » 512

Спростіть вираз: 1) √7(√7 – √28) = (√7)2 – √7 • √28 = 7 – √196 = 7 – 14 = –7; 2) (√18 + √72) • √2 = √18 • √2 + √72 • √2 = √36 + √144 = 6 + 12 = 18; 3) (4√3 – √75 + 4) • 3√3 = 4 • 3(√3)2 – 3√3 • √74 + 4 • 3√3 = 12 • 3 – 3√225 + 12√3 = 36 – 3 • 15 + 12√3 = 36 – 45 + 12√3 = –9 + 12√3; 4) (√600 + √6 – √24) • √6 = √600 • √6 • √6 – √24 • √6 = √3600 + (√6)2 – √144 = 60 + 6 – 12 = 54.