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If sqrt(10-2 sqrt 21)+ sqrt(8+2 sqrt 15)...

If `sqrt(10-2 sqrt 21)+ sqrt(8+2 sqrt 15)=sqrt a+ sqrt b`, where a and b are positive integers, then the value of `sqrt(ab)` is closest to:

A

5.9

B

6.8

C

4.6

D

7.2

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The correct Answer is:
A
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GAGAN PRATAP -SURDS & INDICES-Surds & Indices (Sheet-2)
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  2. sqrt(7sqrt(7sqrt(7...)))=(343)^(y-1) then y=

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  3. root(3)(64root(3)(64root(3)(64))).........oo=?

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  4. Solve root(5)(16root(5)(16(root(5)(16............oo)

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  5. If x^(m)=root(14)(xsqrt(xsqrtx)) then what is the value of m ?

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  6. sqrt(27-:sqrt(27-:sqrt(27-:sqrt(27..........oo))))=?

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  7. If x^(sqrtx^(sqrt(x)^(sqrt(x)^(.^(.^(.oo))))))=(1)/(2) then x=?

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  8. x^(sqrtx^(sqrt(x)^(sqrt(x)^(.^(.^(.oo))))))=(1)/(36) then x=?

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  9. sqrt(12sqrt(12sqrt(12sqrt(12sqrt(12sqrt(12))))))=?

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  10. If root(3)(11root(3)(11root(3)(11root(3)(11root(3)(11)))))=121^(k) the...

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  11. root(m)(aroot(n)(broot(m)(aroot(n)(broot(m)(a)root(n)(b..........oo)))...

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  12. Find the value of sqrt(30+sqrt(30+sqrt(30+……)))

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  13. Let x=sqrt(272+sqrt(272+sqrt(272+sqrt(272........."to infinity"))))

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  14. What is the value of 2 + sqrt(2+sqrt(2+sqrt(2........)))?

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  15. Let x=sqrt(42-sqrt(42-sqrt(42-sqrt(42-......."to infinity")))) then x ...

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  16. (sqrt(210+sqrt(219+sqrt(210+.......))))/(sqrt(156-sqrt(156-sqrt(156-.....

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  17. If (sqrt(8sqrt(8sqrt(8sqrt(8))))**sqrt(56+sqrt(56+sqrt(56+.......))))/...

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  18. sqrt(31+sqrt(31+sqrt(31+sqrt(31+.......oo))))=?

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  19. sqrt(14+sqrt(14+sqrt(14+sqrt(14+.......oo))))=?

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  20. Find sqrt(19-sqrt(19-sqrt(19-sqrt(19-.......oo))))=?

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  21. If A=sqrt(10-sqrt(10-sqrt(10-sqrt(10-.......oo)))) then which of the f...

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