Hvordan forenkler du sqrt (9x ^ 2) / sqrt (18y ^ 2)?

Hvordan forenkler du sqrt (9x ^ 2) / sqrt (18y ^ 2)?
Anonim

Svar:

# X / (sqrt (2) y) #

Forklaring:

#sqrt (9x ^ 2) / sqrt (18y ^ 2) #

# Sqrt9 = 3 #

#sqrt (x ^ 2) = x #

# Sqrt18 = sqrt (9xx2) = 3sqrt2 #

#sqrt (y ^ 2) = y #

Derfor

#sqrt (9x ^ 2) / sqrt (18y ^ 2) = (3x) / (3sqrt (2) y) #=# X / (sqrt (2) y) #