Què és 2sqrt {32} + 3sqrt {50} - 3sqrt {18}?

Resposta:

# 14sqrt (2) #

Explicació:

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

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

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

Per tant

#color (blanc) ("XXX") 2color (blau) (sqrt (32)) + 3color (vermell) (sqrt (50)) - 3color (verd) (sqrt (18)) #

#color (blanc) ("XXX") = 2 * color (blau) (4sqrt (2)) + 3 * color (vermell) (5sqrt (2)) - 3 * color (verd) (3sqrt (2)) #

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

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