4根号6-4根号1/2+3根号82根号12×根号3/4÷3根号2(根号2+1)的平方(2根号2-3)

问题描述:

4根号6-4根号1/2+3根号8
2根号12×根号3/4÷3根号2
(根号2+1)的平方(2根号2-3)

原式=(4√6-2√2+6√2)÷2√2  (利用除法对加法的分配律)=2√3-1+3=2√3+2

4√6-4√(1/2)+3√8=4√6-(4√2)/2+3*2√2=4√6-2√2+6√2=4√6+4√2

(2√12)*(√《3/4》)÷3√2=4√3*(√3/2)(√2/6)=(4*√3*√3*√2)/(2*6)=√2

[(√2+1)^2][2√2-3]=(2+2√2+1)(2√2-3)=(2√2+3)(2√2-3)=8-9=-1

4根号6-4根号1/2+3根号8=4√6-4√(1/2)+3√8=4√6-4√(2/4)+3×√4×√2=4√6-4×√2×√(1/4)+3×2×√2=4√6-4×√2×1/2+6√2=4√6-2√2+6√2=4√6+4√22根号12×根号3/4÷3根号2=2√12×√(3/4)÷3√2=(2÷3)×...