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" (ii) "(5+sqrt(5))(5-sqrt(5))...

" (ii) "(5+sqrt(5))(5-sqrt(5))

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Simplify : (i) (5+sqrt(5))(5-sqrt(5)) (ii) (3+2sqrt(2))(3-2sqrt(2))

Simplify each of the following : (3)/(5-sqrt(3))+(2)/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5))(sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

Examine whether the following numbres are rational or irrational: (i) (5-sqrt(5)) (5+sqrt(5)) (ii) (sqrt(3)+2)^(2) (iii) (2sqrt(13))/(3sqrt(52) - 4sqrt(117)) (iv) sqrt(8) + 4sqrt(32) - 6sqrt(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: (i) (5+\ sqrt(5))\ (5-\ sqrt(5)) (ii) (3+2sqrt(2))\ (3-2sqrt(2))

The value of (5+sqrt(5))(5-sqrt(5)) is:

Simplify : (5+sqrt(5))(5-sqrt(5)) (ii) (3+2sqrt(2))(3-2sqrt(2))

5sqrt(5)+15sqrt(5) =?

Simplify: (5+sqrt(5))(5-sqrt(5))( ii) (3+2sqrt(2))(3-2sqrt(2))