Simplify : `(7+sqrt7)+(7-sqrt7)`

Simplify : (7)/(sqrt(17) - 2sqrt3)-( 3)/(sqrt(17) +2sqrt3)

Simplify (5+sqrt(7))(5+sqrt(2))

(3-sqrt7)(3+sqrt7)=?

Simplify: -sqrt((-7)/(4))-sqrt((-1)/(7))

Examine whether the following numbers are rational or irrational : (7- sqrt7) (7 + sqrt( 7))

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

Simplify {(\sqrt 5+\sqrt 3)\times (\sqrt 5 - \sqrt 3)}/(\sqrt 7- \sqrt 3)\times (\sqrt 7+ \sqrt 3)/(\sqrt 7+\sqrt 3)

Simplify : 7sqrt((1)/(3)) -2(1)/(3) sqrt((1)/(3)) +3 sqrt( 147)

Find: (sqrt7 +sqrt3)(3-sqrt3)

Simplify: (i) (7+3\ sqrt(5))/(3+\ sqrt(5))-(7-3\ sqrt(5))/(3-\ sqrt(5)) (ii) 1/(2+sqrt(3)\ )+2/(sqrt(5)-\ sqrt(3))+1/(2-\ sqrt(5))