Question

If x = 2 + √ 3 , y = 2 − √ 3 and z = 1 , then what is the value of x y z + y x z + z x y + 2 [ 1 x + 1 y + 1 z ]

Answer 1

Answer:

value=13

Step-by-step explanation:

(2+√3)(2-√3)(1)+(2-√3)(2+√3)(1)+(1)(2-√3)(2+√3)+2[1(2-√3)+1(2+√3)+1]

we use this identity=(a-b)(a+b)=a^2-b^2

so, 2^2 -√3^2 + 2^2-√3^2 + 2^2-√3^2+2[4+1]

4-3+4-3+4-3+10

1+1+1+10

13

Answer 2

Answer:

value=13

Step-by-step explanation:

Step-by-step explanation:

(2+√3)(2-√3)(1)+(2-√3)(2+√3)(1)+(1)(2-√3)(2+√3)+2[1(2-√3)+1(2+√3)+1]

we use this identity=(a-b)(a+b)=a^2-b^2

so, 2^2 -√3^2 + 2^2-√3^2 + 2^2-√3^2+2[4+1]

4-3+4-3+4-3+10

1+1+1+10

13