(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8) Multiplicar i simplificar?

(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8) Multiplicar i simplificar?
Anonim

Resposta:

# (sqrt5-sqrt7) (sqrt5-sqrt8) = color (blau) (5-2sqrt10-sqrt35 + 2sqrt14 #

Explicació:

# (sqrt5-sqrt7) (sqrt5-sqrt8) #

Utilitzeu el mètode FOIL.

# (sqrt5sqrt5) - (sqrt5sqrt8) - (sqrt5sqrt7) + (sqrt7sqrt8) #

Simplifica.

# 5-sqrt40-sqrt35 + sqrt56 #

Primer factoritzar els radicands.

# 5-sqrt (2 * 2 * 2 * 5) -sqrt (5 * 7) + sqrt (2 * 2 * 2 * 7) #

Simplifica.

# 5-2sqrt10-sqrt35 + 2sqrt14 #