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If m and n are natural numbers, than roo...

If m and n are natural numbers, than `root(m)(n)` is

A

always irrational

B

irrational number unless n is the mth power of an integer

C

irrational number unless m is the nth power of an integer

D

irrational number unless m and n are coprime

Text Solution

Verified by Experts

The correct Answer is:
B
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  2. If sqrt(10+root(3)(x))=4, then what is the value of x ?

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  3. If m and n are natural numbers, than root(m)(n) is

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  4. If ((1)/(5))^(3y)=0.008, then the value of (0.25)^(y) is

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  5. If 2^(x-1)+2^(x+1)=2560, find the value of x.

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  6. (42xx229)/(9261)^(1//3)=?

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  7. If 4003250 = 4 xx 10^(x) + 3 xx 10^(7) + 2 xx 10^(z) + 5 xx 10^(w), th...

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  8. If a = sqrt((2016)^(2) + (2016) + 2017), then the value of a is

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  9. If (p/q)^(n-1)=(q/p)^(n-3), then the value of n is

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  10. If (16^(2) - 11^(2))^(2//3) = 3^(2) xx A, then the value of A is

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  11. If xsqrt(147) = ysqrt(507), where x and y are co-prime numbers , then ...

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  12. If 3m - (1)/(3m) = 3, m ne 0, then m^(2) + (1)/(81 m^(2)) is equal to

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  13. Simplify 6sqrt((27)^(-2/3)+(8)^(-2/3))

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  14. (1/64)^(0)+(64)^(-1/2)+(32)^(4/5)-(32)^(-4/5)=?

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  15. If 2^(a) = 3^(b) = 6^(-c ), then (1)/(a) + (1)/(b) + (1)/(c ) is equal...

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  16. Find the value of m - n, if (9^(n)xx3^(2)xx(3^((-n)/2))^(-2)-(27)^(n...

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  17. The value of (1)/(sqrt(2)+1)+(1)/(sqrt(3)+sqrt(2))+(1)/(sqrt(4)+sqrt(3...

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  18. The value of sqrt(2 + sqrt(3)) + sqrt(2 - sqrt(3)) is

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  19. Is 68600 a perfect cube? If not, find the smallest number by which 68...

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  20. 4-(2-9)^(0)+3^(2)div1+3 is equal to

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