计算:(1)√1/3(2√12-√75) (2)√12÷√27×1/3√3
(3)(√3+√2-1)(√3-√2+1)(4){(2-√3/2)²+2/√3+1}×1/√6...
(3)(√3+√2-1)(√3-√2+1) (4) {(2-√3/2)²+2/√3+1}×1/√6
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(1)√1/3(2√12-√75)
=√3/3(4√3-5√3)
=3√3×(-√3)
=-3
(2)√12÷√27×1/3√3
=2√3÷3√3×√3/3
=2/3×√3/3
=2√3/9
(3)(√3+√2-1)(√3-√2+1)
=√3(√3-√2+1)+(√2-1)(√3-√2+1)
=3-√6+√3+√6-2+√2-√3+√2-1
=3-2-1-√6+√6+√3-√3+√2+√2
=2√2
(4)
{(2-√3/2)²+2/√3+1}×1/√6
=(4-2√3+3/4+2√3/3+1)×1/√6
=(17/4-4√3/3)×√6/6
=17√6/24-√2/3
谢谢,望采纳
=√3/3(4√3-5√3)
=3√3×(-√3)
=-3
(2)√12÷√27×1/3√3
=2√3÷3√3×√3/3
=2/3×√3/3
=2√3/9
(3)(√3+√2-1)(√3-√2+1)
=√3(√3-√2+1)+(√2-1)(√3-√2+1)
=3-√6+√3+√6-2+√2-√3+√2-1
=3-2-1-√6+√6+√3-√3+√2+√2
=2√2
(4)
{(2-√3/2)²+2/√3+1}×1/√6
=(4-2√3+3/4+2√3/3+1)×1/√6
=(17/4-4√3/3)×√6/6
=17√6/24-√2/3
谢谢,望采纳
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