`root(3)((33)^(3)+(333)^(3)+(334)^(3)-3xx333xx333xx334)` के बराबर है?

Options

A. 12
B. 11
C. 10
D. 15

Answer

C

Explanation

According to the question
`root(3)((333)^(3)+(333)^(3)+(334)^(3)-333xx333xx334)`
As we know that
`a^(3)+b^(3)+c^(3)-3abc`
`=1/2(a+b+c)[(a-b)^(2)+(b-c)^(2)+(c-a)^(2)]`
`=1/2(333+333+334)`
`[(333-333)^(2)+(333-334)^(2)+(334-333)^(2)]`
`implies 1/2xx1000[0+1+1]`
`implies 1/2xx1000xx2=root(3)(1000)=10`