Question

if a power 1/3 +b power 1/3 + c power 1/3 =0 . then show that (a+b+c )power 3 = 27 abc​

Answer 1

Answer:

Correct option is

27abc

Since a

1/3

+b

1/3

+c

1/3

=0

(a

1/3

)

3

+(b

1/3

)

3

+(c

1/3

)

3

=3a

1/3

b

1/3

c

1/3

⇒a+b+c=3(abc)

1/3

⇒(a+b+c)

3

=27abc

Answer 2

27abc

Since a

1/3

+b

1/3

+c

1/3

=0

(a

1/3

)

3

+(b

1/3

)

3

+(c

1/3

)

3

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=3a

1/3

b

1/3

c

1/3

⇒a+b+c=3(abc)

1/3

⇒(a+b+c)

3

=27abc