Home
Class 12
MATHS
If root(3)(a)+root(3)(b) + root(3)(c)=0 ...

If `root(3)(a)+root(3)(b) + root(3)(c)=0` then `(a+b+c)^(3)=`

A

abc

B

3abc

C

9ac

D

27abc

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS

    ALLEN |Exercise Exercise(S-1)|8 Videos

  • BASIC MATHS

    ALLEN |Exercise Do yourself -1 :|4 Videos

  • BASIC MATHS

    ALLEN |Exercise Do yourself -2 :|4 Videos

  • APPLICATION OF INTEGRALS

    ALLEN |Exercise All Questions|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    ALLEN |Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

If root(4)(root(3)(x^2)) = x^(k), then k=

root(3)(4^(2)) is equal to :-

root(3)(8^(2)) is equal to :-

If f(x) =a+bx+cx^(2) and alpha,beta "and" gamma are the roots of the equation x^(3)=1 , then |{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

(a) If x + y + z=0, show that x ^(3) + y ^(3) + z ^(3)= 3 xyz. (b) Show that (a-b) ^(3) + (b-c) ^(3) + (c-a)^(3) =3 (a-b) (b-c) (c-a)

If 1,omega,omega^(2) are the cube roots of unity, then the roots of the equation (x-1)^(3)+8=0 are

If a+b+c=0 and a,b,c are ratiional. Prove that the roots of the equation (b+c-a)x^(2)+(c+a-b)x+(a+b-c)=0 are rational.

log_(1/3)root(4)(729*root(3)(9^(- 1)*27^(-4/3))) is equal to

Verify whether 1 and (3)/(2) are the roots of the equation 2x^(2)-5x+3=0

Simplify : root4(81)-8root3(343)+15 root5(32)+sqrt(225)