Question

If a and b are rational no.
root 3-1 upon root 3+ 1 =a+b root 3​

Answer 1

Answer:

$\frac{ \sqrt{3} - 1 }{ \sqrt{3} + 1 } \\ \frac{ \sqrt{3} - 1 }{ \sqrt{3} + 1 } \times \frac{ \sqrt{3} - 1 }{ \sqrt{3} - 1 } \\ \frac{ {( \sqrt{3} - 1)}^{2} }{2} \\ \frac{3 + 1 - 2 \sqrt{3} }{3} \\ \frac{4 - 2 \sqrt{3} }{3} = \frac{4}{3} - \frac{2 \sqrt{3} }{3} = a + b \sqrt{3} \\ \\ comparing \\ a = \frac{4}{3} \\ b = - \frac{2}{3}$

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