有网友碰到这样的问题“几道根号的化简题 ,求过程 如图”。小编为您整理了以下解决方案,希望对您有帮助:
解决方案1:
√(3/2)×4√(1/12)÷2/3√(3/2)
=1/2√6×2/3√3÷1/3√6
=√3
√(1/8)+√18
=1/4√2+3√2
=13/4√2
√45+√108+√(4/3)-√125
=3√5+6√3+2/3√3-5√5
=-2√5+20/3√3
√12+√(1/27)-√(1/3)
=2√3+1/9√3-1/3√3
=16/9√3
-(-2)-2+√(√3-2)²-(√3+2)º+┃√3/3-√3/2┃
=2-2+2-√3-1+√3/2-√3/3
=1-√3+1/6√3
=1-5/6√3
(-2+√6)(-2-√6)-(√3-1/√3)²
=4-6-(3-2+1/3)
=-2-1-1/3
=-10/3
解决方案2:
1)原式=(1/2)√6*(2/3)√3+(1/3)√6=√2+(1/3)√6
2)原式=(1/4)√2+3√2=(13/4)√2
3)原式=3√5+6√3+(2/3)√3-5√5=-2√5+(20/3)√3
4)原式=2√3+(1/9)√3-(1/3)√3=(16/9)√3
5)原式=2-2+(2-√3)-1+(1/2)√3-(1/3)√3=2-√3-1+(1/2)√3-(1/3)√3=1-(5/6)√3
6)原式=4-6-(3+1/3-2)=-2-3-1/3+2=-10/3