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

Kaj je 2sqrt {32} + 3sqrt {50} - 3sqrt {18}?
Anonim

Odgovor:

# 14sqrt (2) #

Pojasnilo:

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

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

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

Zato

#color (bela) ("XXX") 2barva (modra) (sqrt (32)) + 3barva (rdeča) (sqrt (50)) - 3barva (zelena) (sqrt (18)) #

#color (bela) ("XXX") = 2 * barva (modra) (4sqrt (2)) + 3 * barva (rdeča) (5sqrt (2)) - 3 * barva (zelena) (3sqrt (2)) #

#color (white) ("XXX") = 8sqrt (2) + 15sqrt (2) -9sqrt (2) #

#color (bela) ("XXX") = 14sqrt (2) #