Question

Simplify 3 root 2 / root 6 - root 3 + 2 root 3 / root 6 + 2 - 4 root 3 / root 6 - root 2

Answer 1

(3√2)/(√6-√3)+(2√3/6+2)-(4√3/√6-√2)

[(3√2)×(√6+√3)/(√6-√3)×(√6+√3)]+[(2√3)×(√6-2)/(√6+2)×(√6-2)]-[(4√3)×(√6-√2)/(√6+2)×(√6-2)

=[3√12+3√6/6+√18-√18-3]+[2√18-4√3/6-2)-[4√18-4√6/6-2)

=[3√12+3√6/3]+[2√18-4√3/4)-4√18-4√6/4

√18+(√18-2√3/2)-(√24)

√3(-√2+√6-2/2)

√3(√4-2/2)