Question

Calcular de 2 formas (una con fórmula notable)

Answer 1

Respuesta:

(3√(5)+√(2))² = 47+6√(10)

(3√(5)+√(2))²

= (3√(5))²+2(3√(5))(√(2))+(√(2))²

= (3)²(√(5))²+6√(10)+2

= 9(5)+6√(10)+2

= 45+6√(10)+2

= (45+2)+6√(10)

= 47+6√(10)

(3√(5)+√(2))² = 47+6√(10)

(3√(5)+√(2))²

= (3√(5)+√(2))(3√(5)+√(2))

= ((3√(5))(3√(5))+(3√(5)×√(2))+(2×3√(5))+(√(2)×√(2))

= (3)²(√(5))²+2(3√(5)×√(2))×(√(2))²

= 9(5)+6√(10)+2

= 45+6√(10)+2

= 47+6√(10)

Explicación paso a paso: