Aká je druhá odmocnina 2/3 + druhá odmocnina 3/2?

odpoveď:

#sqrt (3/2) + sqrt (2/3) = 5 * sqrt (6) / 6 #

vysvetlenie:

#sqrt (a / b) = sqrt (a) / sqrt (b) #

#sqrt (3/2) + sqrt (2/3) = sqrt (3) / sqrt (2) + sqrt (2) / sqrt (3) #

# A / b + c / d = (a * d + b c *) / (b * d) #

#sqrt (3/2) + sqrt (2/3) = (3 + 2) / sqrt (6) #

#sqrt (3/2) + sqrt (2/3) = 5 / sqrt (6) #

#sqrt (3/2) + sqrt (2/3) = 5 * sqrt (6) / 6 #