a) 3^√48 + 2 6^√4 – 3 3^√6 – 3^√2 + 2 6^√36
(48)^(1/3) + 2(4)^(1/6) - 3(6)^(1/3) - 2^(1/3) + 2 (36)^(1/6)
= (2^4 * 3)^(1/3) + 2(2^2)^(1/6) - 3(6)^(1/3) - 2^(1/3) + 2 (2^2 * 3^2)^(1/6)
= 2(2 * 3)^(1/3) + 2(2)^(1/3) - 3(6)^(1/3) - 2^(1/3) + 2 (2 * 3)^(1/3)
= 2(6)^(1/3) + 2(2)^(1/3) - 3(6)^(1/3) - 2^(1/3) + 2 (6)^(1/3)
= 2 ³√6 + 2 ³√2 - 3 ³√6 - ³√2 + 2 ³√6
= (2 ³√6 - 3 ³√6 + 2 ³√6) + (2 ³√2 - ³√2)= ³√6 + ³√2
b) x 3^√250y - 3^√3xy^3 – 5 3^√2x^3y + 3y 3^√3x
x ³√250y - ³√3xy³ - 5 ³√2x³y + 3y ³√3x
= x ³√(2 * 5³)y - y ³√3x - 5x ³√2y + 3y ³√3x
= 5x ³√2y - y ³√3x - 5x ³√2y + 3y ³√3x
= (5x ³√2y - 5x ³√2y) + (3y ³√3x - y ³√3x)
= 0 + 2y ³√3x = 2y ³√3x
c) √9x-9 + √4x-4 - 5√x-1
=√9(x-1) + √4(x-1) - 5√(x-1)
=√3²(x-1) + √2²(x-1) - 5√(x-1)
= 3√(x-1) + 2√(x-1) - 5√(x-1)
= 5√(x-1) - 5√(x-1)= 0
d) -5 √27 + √12 - 5 √48 = -5 √3³ + √(2² * 3) - 5 √(2^4 *3)
= -(5 * 3) √3 + 2 √3 - (5 * 2²)√3
= -15 √3 + 2 √3 - 20 √3 = 2 √3 - 35 √3 = - 33 √3
e) 3^√x +√4x - √9x + 3^√8x - √25x = 3 (³√x - 2√
2006-11-13
11:13:13
·
14 respuestas
·
pregunta de
?
3
en
Deportes
➔ Deportes y Naturaleza
➔ Otros - Deportes y Naturaleza