(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8) 곱셈 및 단순화?

(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8) 곱셈 및 단순화?
Anonim

대답:

# (sqrt5-sqrt7) (sqrt5-sqrt8) = 색상 (파란색) (5-2sqrt10-sqrt35 + 2sqrt14 #

설명:

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

FOIL 방법을 사용하십시오.

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

단순화하십시오.

# 5-sqrt40-sqrt35 + sqrt56 #

radix를 프라임 분해하십시오.

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

단순화하십시오.

# 5-2sqrt10-sqrt35 + 2sqrt14 #