Multiple Choice Question (MCQ)
If x = \dfrac{2+\sqrt{3} }{2-\sqrt{3} } , then the value of (x-7)^2
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×
8
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×
4\sqrt{3}
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×
24\sqrt{3}
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✓
48
If x = \dfrac{2+\sqrt{3} }{2-\sqrt{3} } , then the value of (x-7)^2
8
4\sqrt{3}
24\sqrt{3}
48
x = \dfrac{2+\sqrt{3} }{2-\sqrt{3} }
=\dfrac{2+\sqrt{3} }{2-\sqrt{3} } \cdot \dfrac{2+\sqrt{3}}{2+\sqrt{3}}
=(2+\sqrt{3})^2
=7+4\sqrt{3}
(x-7)^2
=(4\sqrt{3} )^2=48