Simplify
`root(3)(2)times sqrt(5)`

Simplify : 2 /( sqrt(6) times sqrt(3) )

Simplify (sqrt(3)+sqrt(2))/(sqrt(5)-sqrt(2))

Simplify root(3)(a^(-2)).b xx root(3)(b^(-2)).c root(3)(c^(-2)).a .

sqrt(2)times root(3)(2)times root(6)(2)

Simplify : (root6(27)-sqrt(6(3)/4))^(2)

Simplify sqrt5 sqrt(-3)

Simplify each of the following : (i) root(5)(16) times root(5)(2)" (ii) "root(4)(243)/root(4)(3) (iii) (3+sqrt(2))(4+sqrt(7))" (iv) "(sqrt(3)-sqrt(2))^(2)

Simplify ((sqrt(5)-sqrt(3))(sqrt(5)+sqrt(3)))/((sqrt(5)+2)+(2-sqrt(5)))

Simplify : (5+sqrt(5))(5-sqrt(5)) (ii) (3+2sqrt(2))(3-2sqrt(2))