Odgovor:
Obrazloženje:
# "koristeći" boju (plavo) "zakon radikala" #
# • boja (bijela) (x) sqrtaxxsqrtbhArrsqrt (ab) #
# "koristeći ovaj zakon kako bi pojednostavili radikale" #
# Sqrt12 = sqrt (4xx3) = sqrt4xxsqrt3 = 2sqrt3 #
# Sqrt18 = sqrt (9xx2) = sqrt9xxsqrt2 = 3sqrt2 #
# RArr-sqrt12xxsqrt18 #
# = - 2sqrt3xx3sqrt2 #
# = (- 2xx3) xxsqrt3xxsqrt2 #
# = - 6sqrt6 #
Što je (sqrt (5+) sqrt (3)) / (sqrt (3+) sqrt (3+) sqrt (5)) - (sqrt (5-) sqrt (3)) / (sqrt (3+) sqrt) (3) sqrt (5))?
2/7 Primamo, A = (sqrt5 + sqrt3) / (sqrt3 + sqrt3 + sqrt5) - (sqrt5-sqrt3) / (sqrt3 + sqrt3-sqrt5) = (sqrt5 + sqrt3) / (2sqrt3 + sqrt5) - (sqrt5) -sqrt3) / (2sqrt3-sqrt5) = (sqrt5 + sqrt3) / (2sqrt3-sqrt5) = ((sqrt5 + sqrt3) (2sqrt3-sqrt5) - (sqrt5-sqrt3) (2sqrt3 + sqrt5) (2sqrt3 + sqrt5) / ((2sqrt15-5 + 2 * 3-sqrt15) - (2sqrt15 + 5-2 * 3-sqrt15)) / ((2sqrt3) ^ 2- (sqrt5) ^ 2) = (poništi (2sqrt15) -5 + 2 * 3kkazati (-sqrt15) - otkazati (2sqrt15) -5 + 2 * 3 + otkazati (sqrt15)) / (12-5) = ( Imajte na umu da, ako su u nazivnicima (sqrt3 + sqrt (3 + sqrt5)) i (sqrt3 + sqrt (3-sqrt5)), odgovor će biti promijenjen.
Pojednostavite (1 - cos theta + sin theta) / (1+ cos theta + sin theta)?
= sin (theta) / (1 + cos (theta)) (1-cos (theta) + sin (theta)) / (1 + cos (theta) + sin (theta)) = (1-cos (theta) + sin (theta)) * (1 + cos (theta) + sin (theta)) / (1 + cos (theta) + sin (theta)) ^ 2 = ((1 + sin (theta)) ^ 2-cos 2 (theta)) / (1 + cos ^ 2 (theta) + sin ^ 2 (theta) +2 sin (theta) +2 cos (theta) + 2 sin (theta) cos (theta)) = ((1+ sin (theta)) ^ 2-cos ^ 2 (theta)) / (2 + 2 sin (theta) +2 cos (theta) + 2 sin (theta) cos (theta)) = ((1 + sin (theta)) ) ^ 2-cos ^ 2 (theta)) / (2 (1 + cos (theta)) + 2 sin (theta) (1 + cos (theta)) = (1/2) ((1 + sin (theta)) ) ^ 2-cos ^ 2 (theta)) / ((1 + cos (theta)) (1 + sin (
Pomnožite zagrade i pojednostavite (2sqrta-3sqrtb) (sqrta + sqrtb)?
2a-sqrt (ab) -3b (2sqrt-3sqrt b) (sqrt a + sqrt b) (2sqrta * sqrta) -3sqrtb * sqrta) + (2sqrta * sqrtb) - (3sqrtb * sqrtb) = 2a-3sqrt (ab ) + 2sqrt (ab) -3b = 2a-sqrt (ab) -3b