Question

if root 3 =1.73205 , what is the value of 2 (root 3-1)÷root 3 + 1​

Answer 1

Answer:

$\frac{2( \sqrt{3} - 1)}{ \sqrt{3} + 1 }$

Rationalising

$\frac{2 \sqrt{3} - 2}{ \sqrt{3} + 1 } \times \frac{ \sqrt{3} - 1 }{ \sqrt{3} - 1 }$

$\frac{6 - 2 \sqrt{3} + 2 + 2 \sqrt{3} }{3 - 1}$

$\frac{8}{2}$

$4$

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