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Simplify the following expressions: (i...

Simplify the following expressions: (i)`(11+sqrt(11))(11-sqrt(11))` (ii) `(5+sqrt(7))(5-sqrt(7))` (iii)`(sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2))` (iiii)`(sqrt(7)-3)(sqrt(7)+3)`

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Verified by Experts

1)`(11+sqrt11)(11-sqrt11)`
`11^2-(sqrt11)^2`
`121-11=110`
2)`(5+sqrt7)(5-sqrt7)`
`5^2-(sqrt7)^2=25-7=18`
3)`(sqrt8-sqrt2)(sqrt8+sqrt2)`
`sqrt8^2-sqrt2^2=8-2=6`
4)`(sqrt7-3)(sqrt7+3)`
...
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RD SHARMA-RATIONALISATION -All Questions
  1. Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Rationalise the denominator of 1/(3+sqrt(2))

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  20. Rationalise the denominator of 5/(sqrt(3)-\ sqrt(5))

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