Wie vereinfacht man # (10 * sqrt8) / sqrt 16 #?

Antworten:

# (10sqrt8) / sqrt16 = 5sqrt2 #

Erläuterung:

# (10sqrt8) / sqrt16 = (10sqrt8) / 4 = (10sqrt (4 * 2)) / 4 = (5 * 2 * sqrt (4) * sqrt (2)) / (2 * 2) #

# = (5 * 2 * 2 * sqrt (2)) / (2 * 2) #

# = (5 * cancel2 * cancel2 * sqrt (2)) / (cancel2 * cancel2) #

# = 5sqrt2 #