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If x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)...

If `x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b))`, then find the value of `bx^(2)-ax+b`.

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ML KHANNA-LOGARITHMS AND SURDS-Problem Set (4)
  1. Evaluate the expression (i) 4x^(3)+2x^(2)-8x+7 for x=(1)/(2)(sqrt(3)...

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  2. If x = (2ab)/(b^2+1) then value of (sqrt(a+x)+sqrt(a-x))/(sqrt(a+x)-sq...

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  3. If x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)), then find the va...

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  4. Express as an equivalent fraction with rational denominator. (8sqrt(...

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  5. Express as an equivalent fraction with rational denominator. (11)/(2...

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  6. Express as an equivalent fraction with rational denominator. (sqrt(1...

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  7. Simplify ((sqrt3+sqrt5)(sqrt5+sqrt2))/(sqrt2+sqrt3+sqrt5)

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  8. Express as an equivalent fraction with rational denominator. (1)/(2-...

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  9. Express as an equivalent fraction with rational denominator. (1)/(sq...

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  10. Express as an equivalent fraction with rational denominator. (15)/(s...

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  11. Express as an equivalent fraction with rational denominator. (i) (3+...

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  12. Express as an equivalent fraction with rational denominator. (sqrt(2...

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  13. Express as an equivalent fraction with rational denominator. ([sqrt(...

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  14. (12)/( 3+ sqrt(5 ) + 2sqrt(2)) is equal to

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  15. Prove the following identities. ((a+2)^(2)(a-3)+(a^(2)-4)sqrt(a^(2)-...

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  16. Prove the following identities. (n^(3)-3n+(n^(2)-1)sqrt(n^(2)-4)-2)/...

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  17. Express with rational denominator : (4)/(root3((9))-root3(3)+1)

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  18. Express with rational denominator : (sqrt(8)+root3(4))/(sqrt((8))-ro...

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  19. Find the square root of (A) 8+2sqrt(15), (B)49+20sqrt(6)

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  20. Find the square root of (A) 6-sqrt(35) (B) 5sqrt(6)+12.

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