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

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

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Let's simplify the given expressions step by step. ### (i) Simplifying `(5 + √5)(5 - √5)` 1. **Identify the Form**: This expression is in the form of `(a + b)(a - b)`, where `a = 5` and `b = √5`. 2. **Apply the Difference of Squares Formula**: According to the difference of squares formula, `(a + b)(a - b) = a² - b²`. ...
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RD SHARMA-RATIONALISATION -All Questions
  1. Simplify each of the following: (i) root(5)(16)xxroot(5)(2) (ii) ro...

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

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

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

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

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

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

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

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

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

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

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

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  13. Rationalise the denominator of 1/(7+3sqrt(2))

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  14. Rationalise the denominator in each of the following: (i)2/(sqrt(7))...

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  15. Given that sqrt(5)=2. 236 approximately, find the three places of deci...

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  16. Find the value of three places of decimals, of each of following: It...

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  17. Find the value of three places of decimals; of each of the following...

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  18. If sqrt(2)=1. 414 find the value of sqrt(3)\/ sqrt(6) upto three place...

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  19. Simplify each of the following by rationalising the denominator: 1/(...

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  20. Simplify each of the following by rationalizing the denominator: I(I...

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