Wat is 2sqrt {32} + 3sqrt {50} - 3sqrt {18}?

Wat is 2sqrt {32} + 3sqrt {50} - 3sqrt {18}?
Anonim

Antwoord:

# 14sqrt (2) #

Uitleg:

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

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

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

daarom

#color (wit) ("XXX") 2color (blauw) (sqrt (32)) + 3color (rood) (sqrt (50)) - 3color (groen) (sqrt (18)) #

#color (wit) ("XXX") = 2 * kleur (blauw) (4sqrt (2)) + 3 * kleur (rood) (5sqrt (2)) - 3 * kleur (groen) (3sqrt (2)) #

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

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