" (iii) "sqrt(2)+sqrt(-5)

Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (iii) (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

(iii) (2-sqrt(2))/(sqrt(5))

Choose the incorrect relation(s) from the following : (I ) sqrt(6) + sqrt(2) = sqrt(5) + sqrt(3) (ii) sqrt(6) + sqrt( 2) lt sqrt(5) + sqrt (3) (iii) sqrt(6) + sqrt(2) gt sqrt(5) + sqrt(3)

Express (3)/(sqrt(3) - sqrt(2) + sqrt(5)) with rational denominator.

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

[ If N=(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(sqrt(5)+1))-sqrt(3-2sqrt(2)) then N equals [ (A) 1, (B) 2sqrt(2)-1 (C) (sqrt(5))/(2), (D) (2)/(sqrt(sqrt(5)+1))]]

Simplify: 2/(sqrt(5)+\ sqrt(3))+1/(sqrt(3)+\ sqrt(2))-3/(sqrt(5)+\ sqrt(2))

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

If sqrt(2)=1.414 and sqrt(5)=2.24, find the value of (3)/(8sqrt(2)+5sqrt(5))+(2)/(8sqrt(2)-5sqrt(5))