`sqrt3(sqrt6+sqrt5)`

Simplify (7sqrt3)/(sqrt10+sqrt3)-(2sqrt5)/(sqrt6+sqrt5)-(3sqrt2)/(sqrt15+3sqrt2)

solve (3sqrt5 +sqrt3)/(sqrt5 -sqrt3)

Rationlise the denominator and simplify: (sqrt5+sqrt3)/(sqrt5-sqrt3)

Find : (sqrt5+sqrt2)(sqrt3+sqrt2)

(iii) (sqrt 5+ sqrt 3)/(sqrt5-sqrt3)+(sqrt5-sqrt3)/(sqrt5+sqrt3) =?

(sqrt5 - sqrt3)/(sqrt5 + sqrt3) is equal to :

The value of sqrt(6+sqrt(6+sqrt(6+))) ..........is (a) 4 (b) 3 (c) -2 (d) 3.5

Find x if (x^(sqrt5+sqrt3))^(sqrt5-sqrt3) =9

Using the properties of detminants, evalulate. (i) |{:(,23,6,11),(,36,5,26),(,63,13,37):}| (ii) |{:(,sqrt13+sqrt3,2sqrt5,sqrt5),(,sqrt15+sqrt26,5,sqrt10),(,3+sqrt65,sqrt15,5):}|

Prove that tan 7 (1^(@))/(2) = sqrt2 - sqrt3 -sqrt4 + sqrt6 = (sqrt3 - sqrt2) (sqrt2 -1).