Question

Me ayudan porfi, si no me llevo la materia :(​​

Answer 1

EJERCICIO 1

5√3 + 4√48 - 3√12 =

√48 = √2·2·2·2·3 =

√48 = √2²·2²·3

√48 = 2·2·√3

√48 = 4√3

√12 = √2·2·3

√12 = √2²·3

√12 = 2√3

5√3 + 4√48 - 3√12 =

5√3 + 4(4√3) - 3(2√3) =

5√3 + 16√3 - 6√3 =

15 √3

EJERCICIO 2

√18 + √200 =

√18 = √2·3·3

√18 = √3²·2

√18 = 3√2

√200 = √2·2·2·5·5

√200 = √2²·5²·2

√200 = 2·5·√2

√200 = 10√2

√18 + √200 =

3√2 + 10√2 =

13√2

EJERCICIO 3

∛2 + 3∛2 - 8∛2 =

(1 + 3 - 8)(∛2) =

-4∛2

EJERCICIO 4

2√18 - 5√6 =

√18 = √2·3·3

√18 = √3²·2

√18 = 3√2

√6 = √2·3

√6 = √2√3

2√18 - 5√6 =

2(3√2) - 5(√2√3) =

6(√2) - 5√3(√2) =

(6 - 5√3)(√2)

EJERCICIO 5

√A - 2√B + √A - √B =

(1 + 1)(√A) + (-2 - 1)(√B) =

2√A - 3√B