3root(5)(2)times2^(5)sqrt(3)

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

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)

((sqrt(5)-3))/((sqrt(5)-3))times((sqrt(5)-3))/((sqrt(5)+3))

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

Evaluate : ( sqrt(2) - sqrt(3) + sqrt(5) )times ( sqrt(2) + sqrt(3) + sqrt(5) )

Write in ascending order : (i) 3sqrt(5) and 4sqrt(3) (ii) 2root(3)(5) and 3root(3)(2) (iii) 6sqrt(5), 7sqrt(3) and 8sqrt(2)

Evaluate : (sqrt(5) )^-3 times (sqrt(2))^-3

(1)/(sqrt(2)+sqrt(3))-(2)/(sqrt(5)-sqrt(3))+(3)/(sqrt(5)-sqrt(2))=

The value of log_(2)(root(3)(2+sqrt(5))+root(3)(2-sqrt(5))) is equal to