计算0.75^-1×(根号下3/2)^1/2×(27/4)^1/4+10(根号下3-2）^-1+1
问题描述：
计算0.75^-1×(根号下3/2)^1/2×(27/4)^1/4+10(根号下3-2）^-1+1
答
0.75^-1×(根号下3/4)^1/2×(27/4)^1/4+10(根号3-2）^-1+1
=4/3×(3/4)^1/4×(27/4)^1/4-10(根号3+2）^-1+1
=4/3×[(3/4)×(27/4)]^1/4-10根号3-20+1
=4/3×(81/16)^1/4-10根号3-20+1
=4/3×3/4-10根号3-19
=-10根号3-18