यदि `x=2+sqrt(3)`, `y=2-sqrt(3)`, तो `x^(2)+y^(2)` का मान क्या होगा ।

Options

A. 14
B. 3
C. 8
D. 4

Answer

A

Explanation

`x=2+sqrt(3), y=2-sqrt(3)`
`x^(2)+y^(2)=(2+sqrt(3))^(2)+(2-sqrt(3))^(2)`
`x^(2)+y^(2)=4+3+4sqrt(3)+4+3-4sqrt(3)`
`x^(2)+y^(2)=14`