Question

Спростити вираз: 5√300-7√3;. 11√18-5√2+2√200;. √3(√27+2√75);​

Answer 1

Объяснение:

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Answer 2

1. 5√300 - 7√3: 5√300 = 5√(100 * 3) = 5 * 10√3 = 50√3 So, 5√300 - 7√3 = 50√3 - 7√3 = 43√3

2. 11√18 - 5√2 + 2√200: √18 = √(9 * 2) = 3√2 √200 = √(100 * 2) = 10√2 Now, we can substitute these values: 11√(3√2) - 5√2 + 2√(10√2) = 33√2 - 5√2 + 20√2 = (33 - 5 + 20)√2 = 48√2

3. √3(√27 + 2√75): √27 = √(9 * 3) = 3√3 √75 = √(25 * 3) = 5√3 Now, we can substitute these values: √3(3√3 + 2 * 5√3) = √3(3√3 + 10√3) = √3 * 13√3 = 13 * 3 = 39