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Find the sum 1/(1+sqrt(2))+1/(sqrt(2)+sq...

Find the sum `1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+sqrt(4))+.......` upto 99 terms.

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Evaluate 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+sqrt(4))

x=(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+2)=

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ up to 15 terms is

1/(1-sqrt(2))+ 1/(sqrt(2)-sqrt(3))+1/(sqrt(3)-sqrt(4))+..........+1/(sqrt(8)-sqrt(9))

Find the sum: 3+(1)/(sqrt(3))+(1)/(3+sqrt(3))-(1)/(3-sqrt(3))

Evaluate (1/sqrt(2))/(1/sqrt(2)+sqrt(3))

Simplify: (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(5))

The sum of 1/(sqrt(2)+1) + 1/(sqrt(3) + sqrt(2)) + 1/(sqrt(4) + sqrt(3)) +.....1/(sqrt(100) + sqrt(99)) is equal to:

Evaluate : 1/( 1 + sqrt (2) ) + 1/( sqrt(2) + sqrt (3) ) + 1/ ( sqrt(3) + sqrt (4) )

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ . . . . .+(1)/(sqrt(n^(2)-1)+sqrt(n^(2))) equals

RESONANCE DPP-JEE MAINS-All Questions
  1. If x+y+z=0,x^2+y^2+z^2=60, find xy + yz + zx

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  2. A quadratic equation f(x)=a x^2+b x+c=0(a != 0) has positive distinct ...

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  3. Find the sum 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+sqrt(4))+......

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  4. Find the integral solutions of the equation 4(log)(x//2)(x)+2(log)(...

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  5. If f(x)=max{sinx ,sin^(-1)(cosx)}, then f is differentiable everywhere...

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  6. Find the lengths of the major and minor axes and the eccentricity o...

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  7. Solve the equation for x : log4+(1+1/(2x))log3=log(root(x)3+27)

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  8. If xx=sqrt(3)+sqrt(2), then find xx+1/x,x^(2)+(1)/(x^(2)),x^(3)+(1)/(x...

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  9. Difference in values of the radius of a circle whose center is at the ...

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  10. The value of ' x ' satisfying the equation, 4^((log)9 3)+9^((log)2 4)=...

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  11. Twenty coupons are numbered 1,2,3......, 20 respectively. Four coup...

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  12. If (log)3x=aa n d(log)7x=b , then which of the following is equal to ...

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  13. Which of the following statements are true and which false ? {:((i),...

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  14. Let A=[1 4 2 3]&A^4-4A^3-5A^2+2I=lambdaI (' I ' is the unit matrix of...

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  15. If sintheta+sinvarphi=a and costhetavarphi+cosvarphi=b , then cos(...

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  16. If 5x^2-2kx+1 < 0 has exactly one integral solution which is 1 then su...

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  17. If log15=aa n dlog75=b ,t h e n(log)(75)45 is: (3b-a)/a b. (b-3a)/a c....

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  18. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

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  19. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

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  20. Let N=(4^5+4^5+4^5+4^5)/(3^5+3^5+3^5)dot(6^5+6^5+6^5+6^5+6^5+6^5)/(2^5...

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