Question

根号2/3倍根号2-2倍根号3=？

Answer 1

根号2/（3倍根号2-2倍根号3）
=根号2/根号6（根号3-根号2）
=根号2（根号3+根号2）/[根号6（根号3-根号2）(根号3+根号2)]
=根号2（根号3+根号2）/（根号6）
=根号3（根号3+根号2）/3
=(3+根号6)/3

Answer 2

√2/(3√2-2√3)
=√2(3√2+2√3)/[(3√2-2√3)(3√2+2√3)]
=√2(3√2+2√3)/(18-12)
=(6+2√6)/6
=(3+√6)/3
=1+√6/3