Đáp án:
a)P= (2+3√2)(1-√2(3-√2)²) b)P=((3+√6)/(√8+√12)+√27/6).(1/√3)
=(2+3√2).(1-(3-√2).√2) =((3+√6)/(2√2+2√3)+3√3/6)(.1/√3)
=(2+3√2).(1-(3√2-2)) = ((3+√6).(2√2-2√3)/-4)+(√3/2)).(1/√3)
=(2+3√2).(1-3√2+2) = ((3+√6).2(√2-√3)/-4)+√3/2).(1/√3)
=(2+3√2).(3-3√2) = ((3+√6).(√2-√3))/-2)+√3/2).(1/√3)
= 6-6√2+9√2-18 = (3√2-3√3+√12-√18)/(-2)+√3/2).(1/√3)
= -12+3√2 =(3√2-3√3+2√3-3√2)/-2)+√3/2).(1/√3)
=(-√3/-2+√3/2)+1/√3
=√3.(1/√3)
=1
c)P=((√5+5)/(√5+1))+((√15-√5)/(√3-1))+((√60+10)/(√3+√5))
=((√5+5).(√5-1))/4)+((√15-√5).(√3+1))/2)+((2√15+10)/(√3+√5))
= ((5-√5+5√5-5)/4)+((√45+√15-√15-√5)/2)+((2√15+10).(√3-√5)/(-2)
=4√5/4+(3√5-√5)/2+(2.(√15+5).(√3-√5))/(-2))
=√5+2√5/2-(√15+5).(√3-√5)
=√5+√5-(√45-√75+5√3-5√5)
=√5+√5-(3√5-5√3+5√3-5√5)
=√5+√5-(-2√5)
=√5+√5+2√5
=4√5
d)Mình không biết giải xin lỗi nhe
