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if x= 9 + 4sqrt(5) find the value of ...

if ` x= 9 + 4sqrt(5) ` find the value of ` sqrt(x) - 1/sqrt(x) `

A

`1`

B

`2`

C

`3`

D

`4`

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The correct Answer is:
D
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MTG IIT JEE FOUNDATION-NUMBER SYSTEMS-EXERCISE (Multiple choice Question(Level-1))
  1. Which of the following numbers can be represented as non-terminating r...

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  2. If g=t^(2/3)+\ 4t^(-1/2) , what is the value of g when t=64 ?

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  3. if x= 9 + 4sqrt(5) find the value of sqrt(x) - 1/sqrt(x)

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  4. If x=(1)/(sqrt(5)-2), find the value of x^(3)-3x^(2)-5x+3 .

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  5. The smallest rational number by which 1//3 should be multiplied so tha...

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  6. Evaluate : (27)^(-(1)/(3)).(27)^(-(1)/(3))[(27)^((1)/(3))-(27)^((2)/(3...

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  7. If (2^(m+n))/(2^(n-m))=16,(3^(p))/(3^(n))=81 and a=2^(1//10) then (a^(...

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  8. Find the value of (4)/((216)^(-2//3))-(1)/((256)^(-3//4))

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  9. Find the value of ((x^(a+b))^(2)(x^(b+c))^(2)(x^(c+a))^(2))/((x^(a)x^(...

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  10. (3^(5x)xx8 1^2xx6561)/(3^(2x))=3^7,t h e nx=

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  11. For an integer n, a student states the following : I. If n is odd, (...

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  12. If sqrt(5)=2.236 and sqrt(10)=3.162 , then the value of (15)/(sqrt(10...

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  13. The value of (1)/(1xx2)+(1)/(2xx3)+(1)/(3xx4)+..... +(1)/(99xx100) is

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  14. If x=(sqrt(3)+1)/(2) then x^(3)+(1)/(x^(3)) =

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  15. Which one of the following is correct ?

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  16. Simplify root5(x^4 root 4 (x^3 root 3(x^2 sqrtx))).

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  17. If x=(sqrt(p+q)+sqrt(p-q))/(sqrt(p+q)-sqrt(p-q)) then find the value o...

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  18. Which of the following statements is true ?

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  19. Simplify : (3^(-3)xx6^2xxsqrt98)/(5^2 xx (1/25)^(1/3) xx (15)^(-4/3)xx...

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  20. Simplify : (3sqrt(2))/(sqrt(6)-sqrt(3))-(4sqrt(3))/(sqrt(6)-sqrt(2))+(...

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