Was ist 2sqrt {32} + 3sqrt {50} - 3sqrt {18}?

Was ist 2sqrt {32} + 3sqrt {50} - 3sqrt {18}?
Anonim

Antworten:

# 14sqrt (2) #

Erläuterung:

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

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

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

Deshalb

#color (weiß) ("XXX") 2color (blau) (sqrt (32)) + 3color (rot) (sqrt (50)) - 3color (grün) (sqrt (18)) #

#Farbe (weiß) ("XXX") = 2 * Farbe (blau) (4q (2)) + 3 * Farbe (rot) (5sqrt (2)) - 3 * Farbe (grün) (3sqrt (2)) #

#Farbe (weiß) ("XXX") = 8sqrt (2) + 15sqrt (2) -9sqrt (2) #

#Farbe (weiß) ("XXX") = 14sqrt (2) #