数学计算题,
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数学计算题,
1. √18-√32+√2=√√(9*2)-√(16*2)+√2.
=3√2-4√2+√2.
=√2(3-4+1)
=0.
(2) √75-√54+√96-√108=√(25*3)-√(27*2)+√(16*3*2)-√2^27*2).
=5√3-3√6+4√6-2*3√3.
=(4-3)√6+(5-6)√3.
=√6-√3.
=√3(√2- 1).
(3)(√45+√18)-(√8-√125)=√45+√125+√18-√8.
=√(9*5)+√(25*5)+√(9*2)-√(4*2).
=3√5+5√5+3√2-2√2.
=(3+5)√5+(3-2)√2.
=8√5+√2.
(4) (1/2)(√2+√3)-(3/4)(√2+√27)=(1/2)√2-(3/4)√2+(1/2)√3-(3/4)*3√3).
=[(2-3)/4]√2+[(2-9)/4]√3.
=-√2/4-(7/4)√3.
全部解答完.希望你采纳.
=3√2-4√2+√2.
=√2(3-4+1)
=0.
(2) √75-√54+√96-√108=√(25*3)-√(27*2)+√(16*3*2)-√2^27*2).
=5√3-3√6+4√6-2*3√3.
=(4-3)√6+(5-6)√3.
=√6-√3.
=√3(√2- 1).
(3)(√45+√18)-(√8-√125)=√45+√125+√18-√8.
=√(9*5)+√(25*5)+√(9*2)-√(4*2).
=3√5+5√5+3√2-2√2.
=(3+5)√5+(3-2)√2.
=8√5+√2.
(4) (1/2)(√2+√3)-(3/4)(√2+√27)=(1/2)√2-(3/4)√2+(1/2)√3-(3/4)*3√3).
=[(2-3)/4]√2+[(2-9)/4]√3.
=-√2/4-(7/4)√3.
全部解答完.希望你采纳.