证明:0.5√(2-√3)=0.25(√6-√2)

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证明:0.5√(2-√3)=0.25(√6-√2)

证明:0.5√(2-√3)=0.25(√6-√2)
证明:0.5√(2-√3)=0.25(√6-√2)

证明:0.5√(2-√3)=0.25(√6-√2)
0.5√(2-√3)
=0.25×2√(2-√3)
=0.25√[4(2-√3)]
=0.25√(8-4√3)
=0.25√(6-2√12+2)
=0.25√[(√6)²-2×√6×√2+(√2)²]
=0.25√(√6-√2)²
=0.25(√6-√2)

6(√0.5-3√2÷3)-(4√(1÷8)-√72)
=6(√2÷2-√2)-(4√2÷4-6√2)
=3√2-6√2-√2+6√2
=2√2
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