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The value of the expression sqrt(4+sqrt(...

The value of the expression `sqrt(4+sqrt(15))+sqrt(4-sqrt(15))-sqrt(12-4sqrt(5))` is a. An irrational number b. A negative integer c. A natural number d. A non integer rational number

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RS AGGARWAL-SURDS AND INDICES-All Questions
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  2. The value of 1/(sqrt(12-sqrt(140)))-1/(sqrt(8-sqrt(60)))-2/(sqrt(10+sq...

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  3. The value of the expression sqrt(4+sqrt(15))+sqrt(4-sqrt(15))-sqrt(12-...

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  4. if N=(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(sqrt(5)+2))-sqrt(3-2sqrt(...

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  5. Given that 10^0.48=x ,\ 10^(0.70)=y\ and\ x^z=y^2, then the value of z...

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  6. If m and n are whole numbers such that m^n=121 , then the value of (m-...

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  7. Number of prime factors in (216)^(3/5)xx(2500)^(2/5)xx(300)^(1/5) is

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  8. Number of prime factors is (6^(12)xx(35)^(28)xx(15)^(16))/((14)^(12)xx...

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  9. 1+(3+1)(3^2+1)(3^4+1)(3^8+1)(3^(16)+1)(3^(32)+1) is equal to (3^(64)-1...

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  10. 1/(1+a^(n-m))+1/(1+a^(m-n))=? a. 0 b. 1/2 c. 1 d. a^(m+n)

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  11. If a+b+c=0, then the value of (x^a)^(a^2-b c)*(x^b)^(b^2-ca)*(x^c)^(c^...

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  12. If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)...

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  13. (x^a/x^b)^(a+b-c)*(x^b/x^c)^(b+c-a)*(x^c/x^a)^(c+a-b)=? a. 1 b. x^(abc...

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  14. (x^a/x^b)^(a+b)*(x^b/x^c)^(b+c)*(x^c/x^a)^(c+a)=? a. 0 b. x^(abc) c. x...

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  15. (x^a/x^b)^(1//ab)*(x^b/x^c)^(1//bc)*(x^c/x^a)^(1//ca)=? a. 1 b. x^(1//...

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  16. The expression ((x+1/y)^a*(x-1/y)^b)/((y+1/x)^a*(y-1/x)^b) reduces to ...

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  17. If a^x=b^y=c^z \ and\ b^2=a c ,\ then\ y equals a. (xz)/(x+z) b. (x z)...

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  18. If a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

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  19. I f2^x=4^y=8^zand(1/(2x)+1/(4y)+1/(6z))=24/7,t h e nz=?7/48 b)48/7c)44...

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  20. Suppose 4^a=5,\ 5^b=6,\ 6^c=7,\ 7^d=8, then the value of a b c d is a...

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