Solve the following by rationalization
`1 /(sqrt6 - sqrt 5)`

Examine,whether the following numbers are rational or irrational: (sqrt(5)-2) (ii) sqrt(23) (iii) sqrt(255)

Examine,whether the following numbers are rational or irrational: (sqrt(2)+2)^(2) (ii) (5+sqrt(5))(5-sqrt(5))(6)/(2sqrt(3))

Rationalize 3/(2sqrt7+sqrt5)

rationalize 3/(sqrt3+sqrt5-sqrt2)

whether the following number is rational or irrational ((2+sqrt(2))(3-sqrt(5)))/((3+sqrt(5))(2-sqrt(2)))

Express each one of the following with rational denominator: (30)/(5sqrt(3)-3sqrt(5)) (ii) (1)/(2sqrt(5)-sqrt(3))

Rationalize- 1/((sqrt5)-2)

Examine,whether the following numbers are rational or irrational: sqrt(3)+sqrt(2)(v)sqrt(3)+sqrt(5) (vi) (sqrt(2)-2)^(2)

Simplify each of the following by rationalising the denominator,(1)/(5+sqrt(2)) (ii) (5+sqrt(6))/(5-sqrt(6)) (iii) (7+3sqrt(5))/(7-3sqrt(5)) (iv) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))

Solve the following: 1/(sqrt7 - sqrt6)