Pilne na jutro!!! 1.Doprowadż do najprostszej postaci wyrażenia: a) √8-√32+√128 b) √27+√48-√75 c) √125+√24-√45-√150 d) √175+√80-√28-√180 e) (√3+2√2)(3√2-4√3) f) (√7-5√3)(2√7+√3)

a)√8-√32+√128=2√2-4√2+8√2=6√2 b)√27+√48-√75=3√3+4√3-5√3=2√3 c)√125+√24-√45-√150 to jest najprostsza postac d)√175+√80-√28-√180 to jest najprostsza postac e)(√3+2√2)(3√2-4√3)=

a) √8-√32+√128= =√4*√2-√16*√2+√64*√2= = 2*√2 - 4*√2 +8*√2 = = 6√2 b) √27+√48-√75= =√9*√3 + √16*√3 - √25*√3= = 3*√3 + 4*√3 - 5*√3= = 2√3 c) √125+√24-√45-√150= = √25*√5 + √4*√6 - √9*√5 - √25*√6= = 5*√5 + 2*√6 - 3*√5 - 5*√6= = 2√5 - 3√6 d) √175+√80-√28-√180 =√25*√7 + √16*√5 - √4*√7 - √36*√5= = 5*√7 + 4*√5 - 2*√7 - 6*√5 = = 3√7 - 2√5 e) (√3+2√2)(3√2-4√3)= = 3*√3*√2 - 4√3* √3 + 6*√2*√2 - 8*√2*√3 = = 3*√6 - 4*3 + 6*2 - 8*√6= = - 5√6 -12 + 12 = = -5√6 f) (√7-5√3)(2√7+√3) = = 2*√7*√7 + √7*√3 - 10*√3*√7 - 5*√3*√3= = 2*7 + √21 - 10√21 - 5*3= = 14 - 9√21 - 15= = -1 -9√21