(2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6))

Rationalise the denominator and simplify (2sqrt6-sqrt5)/(3sqrt5-2sqrt6)

Rationalize the denominator and simplify: (2sqrt6-sqrt5)/( 3sqrt5-2sqrt6)

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))

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))

(sqrt(6)+sqrt(3))/(sqrt(5)+sqrt(2))

Show that: 1/(3-sqrt(8))-1/(sqrt(8)-sqrt(7))+1/(sqrt(7)-sqrt(6))-1/(sqrt(6)-sqrt(5))+1/(sqrt(5)-2)=5

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

Evaluate: (sqrt(3)+sqrt(5))/(sqrt(6)+sqrt(2))

Find the values of a and b . If (2sqrt6-sqrt5)/( 3sqrt5-2sqrt6)= a +b sqrt(30 )

If (6)/(2sqrt(3)-sqrt(5))=(12sqrt(3)+6sqrt(5))/(k), then k=