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Simplify root5(x^4 root 4 (x^3 root 3(x^...

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

A

`x^(23//24)`

B

`x^(23//6)`

C

`x^(5//6)`

D

`x^(119//120)`

Text Solution

Verified by Experts

The correct Answer is:
D
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MTG IIT JEE FOUNDATION-NUMBER SYSTEMS-EXERCISE (Multiple choice Question(Level-1))
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  2. If (2^(m+n))/(2^(n-m))=16,(3^(p))/(3^(n))=81 and a=2^(1//10) then (a^(...

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

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

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

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

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

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  10. Which one of the following is correct ?

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

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

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  13. Which of the following statements is true ?

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

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

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  16. If a=(sqrt(2)+1)/(sqrt(2)-1)"and"b=(sqrt(2)-1)/(sqrt(2)+1) then value ...

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  17. If (3+2sqrt(5))/(4-2sqrt(5))=p+qsqrt(5) where p and q are rational num...

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  18. 2.bar(6)-0.bar(82) is equal to

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  19. If x=3sqrt(5)+2sqrt(2) and y=3sqrt(5)-2sqrt(2) , then the value of (x^...

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  20. If x=(sqrt(3)+1)/(sqrt(3)-1)+(sqrt(3)-1)/(sqrt(3)+1)+(sqrt(3)-2)/(sqrt...

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