If \[x={{\left( 2+\sqrt{3} \right)}^{n}}\], then find the value of \[x\,\left( 1-\left\{ x \right\} \right)\] where {x} denotes the fractional part of x

If \[x={{\left( 2+\sqrt{3} \right)}^{n}}\], then find the value of \[x

1.	If \[x={{\left( 2+\sqrt{3} \right)}^{n}}\], then find the value of \[x\,\left( 1-\left\{ x \right\} \right)\] where {x} denotes the fractional part of x
A.	1
B.	2
C.	\[{{2}^{2n}}\]
D.	\[{{2}^{n}}\]
Answer» B. 2

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If \[x={{\left( 2+\sqrt{3} \right)}^{n}}\], then find the value of \[x\,\left( 1-\left\{ x \right\} \right)\] where {x} denotes the fractional part of x

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