Čo je to 2sqrt {32} + 3sqrt {50} - 3sqrt {18}?

odpoveď:

# 14sqrt (2) #

vysvetlenie:

#color (blue) (32 = 4 ^ 2 * 2 rarr sqrt (32) = 4sqrt (2)) #

#color (červená) (50 = 5 ^ 2 * 2 rarr sqrt (50) = 5sqrt (2)) #

#color (zelená) (18 = 3 ^ 2 * 2 rarr sqrt (18) = 3sqrt (2)) #

teda

#COLOR (biely) ("XXX") 2color (modro) (sqrt (32)) + 3color (červená) (sqrt (50)) - 3color (zelená) (sqrt (18)) #

#COLOR (biely) ("XXX") = 2 * farba (modrá) (4sqrt (2)) + 3 * farba (červená) (5sqrt (2)) - 3 * farba (zelená) (3sqrt (2)) #

#COLOR (biely) ("XXX") = 8sqrt (2) + 15sqrt (2) -9sqrt (2) #

#COLOR (biely) ("XXX") = 14sqrt (2) #