Question

Me ayudarian a resolver estas multiplicaiones con radicales con la propiedad distributiva por favor

Answer 1

14.

(2×∜(x³))(∜x)(4×∜(x³)) =

8×∜(x³×x×x³) = 8 ∜(x⁷) = 8x∜(x³)

16.

((3/5)√(3a/x))((2/3)√(6a³/x³))((1/2)√(x/a)) =

(3/5)(2/3)(1/2)×√((3a/x)(6a³/x³)(x/a) =

(1/5)×√(3×(6a³/x³) =

√(18a³/x³)/5 = (3/5)√(2a³/x³) = (3/5)(a/x)√(2a/x)

18.

√6(√6 - 4) = 6 - 4√6

22.

(7√2 - √3)(7√2 + √3) = 49×2 - 9 = 79

24.

a³ - b³ = (a - b)(a² +ab +b²)

(∛x - ∛y)(∛(x²) + ∛(xy) + ∛(y²)) =

(∛x)³ - (∛y)³ = x - y