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Simplify : (5+sqrt(5))(5-sqrt(5)) (i...

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

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Verified by Experts

1)`(5+sqrt5)(5-sqrt5)`
`5^2-sqrt5^2=25-5=20`
2)`(3+2sqrt2)(3-2sqrt2)`
`3^2-(2sqrt2)^2=9-8=1`.
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RD SHARMA-RATIONALISATION -All Questions
  1. If x=2+sqrt(3) , find the value of x^2+1/(x^2)

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  2. Prove that: 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+sqrt(4))+1/(...

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

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  4. Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))

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  5. Simplify the following: (16)^(1/5)xx(2)^(1/5)

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  6. Simplify the following expressions: (i)(11+sqrt(11))(11-sqrt(11)) ...

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  7. Simplify the following expressions: (4+sqrt(7))(3+sqrt(2))

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  8. Simplify each of the following: (i) 4 3×16 3 (ii) (1250 4)/(2 4)

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  9. Simplify : (sqrt(5)+sqrt(2))^2

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  10. Rationalise the denominator of 2/(sqrt(3)) .

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  11. Simplify the following expressions: (i)(sqrt(3)+sqrt(7))^2 (ii) ...

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  12. Simplify each of the following: (i) root(5)(16)xxroot(5)(2) (ii) ro...

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  13. Simplify the following expressions: (i) (3+sqrt(3))\ (2+sqrt(2)) (i...

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  14. Simplify: (5+\ sqrt(5))\ (5-\ sqrt(5)) (ii) (3+2sqrt(2))\ (3-2sqrt(...

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  15. Simplify : (i) (sqrt(5)+sqrt(2))^2 (ii) (sqrt(11)-sqrt(5))^2

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  16. Simplify each of the following: root(3)4xx root(3)(16) (ii) root(4)...

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  17. Simplify the following expressions: (i)\ (4+\ sqrt(7))\ (3+sqrt(2)) ...

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  18. Simplify the following expressions: (i)\ (11+sqrt(11))\ (11-\ sqrt(11)...

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  19. Simplify the following expressions: (i)(3+sqrt(3))\ (3-sqrt(3)) (ii...

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  20. Simplify the following expressions: (i)\ (sqrt(3)+\ sqrt(7))^2 (ii...

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