Question

ayuda porfa es para mañana ​

Answer 1

Respuesta:

9 viajes

Explicación paso a paso:

2 / √(4 - 2√3) + 5 / √(7 + 2√6) = √A + √B

2 / √[(3 + 1) - 2√(3 × 1)] + 5 / √[(6 + 1) + 2√(6 × 1)] = √A + √B

Utilizar:  √[(c + d) ± 2√(c × d)] = √c ± √d

2 / (√3 - √1) + 5 / (√6 + √1) = √A + √B

2 / (√3 - 1) + 5 / (√6 + 1) = √A + √B

Racionalizar:

2(√3 + 1) / (√3 - 1)(√3 + 1) + 5(√6 - 1) / (√6 + 1)(√6 - 1) = √A + √B

Utilizar:  (e + f)(e - f) = e² - f²

2(√3 + 1) / (√3² - 1²) + 5(√6 - 1) / (√6² - 1²) = √A + √B

2(√3 + 1) / (3 - 1) + 5(√6 - 1) / (6 - 1) = √A + √B

2(√3 + 1) / 2 + 5(√6 - 1) / 5 = √A + √B

Simplificar:

√3 + 1 + √6 - 1 = √A + √B

√3 + √6 = √A + √B

A = 3

B = 6

Luego:

A + B = 3 + 6

A + B = 9