[" 6.Simplify each of th "],[" i) "(6-4sqrt(2))/(6+4sqrt(2))]

4. . simplify (4+sqrt(2))(4-sqrt(2))

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)

Simplify each of the following by rationalising the denominator : i) (6-4sqrt(2))/(6+4sqrt(2)) ii) (sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5)) iii) (1)/(3sqrt(2)-2sqrt(3))

If a=(4sqrt(6))/(sqrt(2)+sqrt(3))

Rationalize the denominator of each of the following expressions : (6-4sqrt2)/( 6+4sqrt2)

simplify the expression (sqrt(4)+sqrt(2))/(sqrt(2)+sqrt(4))

Simplify the following term (2+sqrt(8))/(sqrt(2)+sqrt(6))

Assuming that x ,\ y ,\ z are positive real numbers, simplify each of the following: (i)\ ((x^(-4))/(y^(-10)))^(5/4) (ii)\ ((sqrt(2))/(sqrt(3)))^5\ (6/7)^2

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

rationalising the denominator: (6-4sqrt2)/(6+4sqrt2)