`""^(3)sqrt(2) xx ""^(4)sqrt(2) xx ""^(12)sqrt(32)= ?`

Examine whether of the following numbers are rational or irrational . (i) 3 + sqrt(3)" " (ii) sqrt(7)-2 " " (iii)""^(3)sqrt(5) xx ""^(3)sqrt(25) sqrt(7) xx sqrt(343)" " (v)sqrt((13)/(117))" " (vi)sqrt(8) xx sqrt(2)

sqrt(2)xx sqrt(3)

(5sqrt(2)xx7sqrt(7))/(3sqrt(27)xx sqrt(125))=

2sqrt(2)xx3sqrt(3)xx5sqrt(2)xx9sqrt(3)=?

(3+sqrt5)^2 xx (3-sqrt5)^2 = ?

sqrt(2)xx sqrt(3+sqrt(2)+sqrt(3))-1-sqrt(2)-sqrt(3)

3sqrt2xx4sqrt2xx12sqrt32 =

((1)/(sqrt(2))+(3)/(sqrt(2)))times sqrt(2)=?

Given that sqrt(3) = 1.732, the value of (3 + sqrt(6 ))/( 5 sqrt(3) - 2 sqrt(12) - sqrt(32) + sqrt(50)) is