Kapag A = root (3) 3, B = root (4) 4, C = root (6) 6, hanapin ang relasyon. kung aling numero ang tamang numero? A

Sagot:

# 5. C <B <A #

Paliwanag:

Dito, # A = root (3) 3, B = root (4) 4 at C = root (6) 6 #

Ngayon, # "LCM ng: 3, 4, 6 ay 12" #

Kaya, # A ^ 12 = (root (3) 3) ^ 12 = (3 ^ (1/3)) ^ 12 = 3 ^ 4 = 81 #

# B ^ 12 = (root (4) 4) ^ 12 = (4 ^ (1/4)) ^ 12 = 4 ^ 3 = 64 #

# C ^ 12 = (root (6) 6) ^ 12 = (6 ^ (1/6)) ^ 12 = 6 ^ 2 = 36 #

# i.e. 36 <64 <81 #

# => C ^ 12 <B ^ 12 <A ^ 12 #

# => C <B <A #