Apakah 2sqrt {32} + 3sqrt {50} - 3sqrt {18}?

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

Jawapan:

# 14sqrt (2) #

Penjelasan:

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

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

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

Oleh itu

#color (putih) ("XXX") 2color (biru) (sqrt (32)) + 3color (merah) (sqrt (50)

3 warna (merah) (5sqrt (2)) - 3 * warna (hijau) (3sqrt (2)) #

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

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