(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8) Multiplicere og forenkle?

(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8) Multiplicere og forenkle?
Anonim

Svar:

# (Sqrt5-sqrt7) (sqrt5-sqrt8) = farve (blå) (5-2sqrt10-sqrt35 + 2sqrt14 #

Forklaring:

# (Sqrt5-sqrt7) (sqrt5-sqrt8) #

Brug FOIL-metoden.

# (Sqrt5sqrt5) - (sqrt5sqrt8) - (sqrt5sqrt7) + (sqrt7sqrt8) #

Forenkle.

# 5-sqrt40-sqrt35 + sqrt56 #

Prime faktoriser radikanterne.

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

Forenkle.

# 5-2sqrt10-sqrt35 + 2sqrt14 #