初二数学题:计算:6/(3根号下2-2根号下3)的平方的结果为( )

问题描述:

初二数学题:计算:6/(3根号下2-2根号下3)的平方的结果为( )

6/(3-2根号2+2)

6/(3√2-2√3)²
=6/(18-12√6+12)
=6/(30-12√6)
=1/(5-√12)
=(5+√12)/[(5-√12)(5+√12)]
=(5+√12)/(25-12)
=(5+√12)/13