а) 3√2-5√8+√32= 3√(2-5)-5√(4*2)+√(16*2)= 3√2-5*2√2+4√2= 3√2-10√2+4√2= -3√2
б)√3 * 5√15, по формуле √а * √в = √(ав): √3 * 5√15= 5√(15*3)= 5√45= 5√(9*5)= 5*3√5= 15√5
в)(5√5-√45)*√5= (5√5-√(9 * 5))*√5= (5√5-3√5)*√5= 2√5*√5= 2√(5*5)= 2√25= 2*5= 10.
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а) 3√2-5√8+√32= 3√(2-5)-5√(4*2)+√(16*2)= 3√2-5*2√2+4√2= 3√2-10√2+4√2= -3√2
б)√3 * 5√15, по формуле √а * √в = √(ав): √3 * 5√15= 5√(15*3)= 5√45= 5√(9*5)= 5*3√5= 15√5
в)(5√5-√45)*√5= (5√5-√(9 * 5))*√5= (5√5-3√5)*√5= 2√5*√5= 2√(5*5)= 2√25= 2*5= 10.