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Operaciones Radicales

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Evaluación rápida sobre raíces y distributiva

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El Salvador

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Operaciones Radicales
 

Operaciones RadicalesOnline version

Evaluación rápida sobre raíces y distributiva

by Josue Aleman
1

Evalúa 3(3+5). ¿Cuál es el resultado correcto?

2

¿Cómo se simplifica √45?

3

¿Cuál es √3 · √5?

4

¿Es verdad que √(a(b+c)) = √a(√b+√c)?

5

¿Qué es √9?

6

Si 5(√6 + 5) se reparte, ¿cuál es el resultado?

7

¿Qué propiedad se usa para simplificar √(16) + √(9)?

8

¿Se cumple la distributiva para raíces cuadradas en números reales?

Explicación

3·3 + 3·5 = 9 + 15 = 24.

√45 = √(9·5) = 3√5.

La raíz de productos: √a·√b = √(ab) = √15.

No es una igualdad válida en general.

√9 = 3.

distributiva: 5·√6 + 5·5 = 5√6 + 25.

Se suman raíces simples: 4 + 3 = 7.

Sí, se cumple para números reales y para raíces cuadradas.

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