Ano ang square root ng (x ^ 6) / 27?

Sagot:

#sqrt ((x ^ 6) / 27) = sqrt (3) / 9 abs (x ^ 3) #

Paliwanag:

Kung #a, b> = 0 # pagkatapos #sqrt (ab) = sqrt (a) sqrt (b) # at #sqrt (a / b) = sqrt (a) / sqrt (b) #

sqrt (x ^ 6) / 27) = sqrt ((3x ^ 6) / 81) = (sqrt (x ^ 6) sqrt (3)) / sqrt (81) = (abs (x ^ 3)) / 9 = sqrt (3) / 9 abs (x ^ 3) #

Tandaan #abs (x ^ 3) #, hindi # x ^ 3 #.

Kung #x <0 # pagkatapos # x ^ 3 <0 #, ngunit #sqrt (x ^ 6)> 0 # dahil # sqrt # nagpapahiwatig ng positibong square root.