Question

rationalise root3-1/root3 upon root3 + 1

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Answer 1

Step-by-step explanation:

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

Rationalisation of denominator,

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

or,

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

or,

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

or,

$\frac{1}{2}(4 - 2 \sqrt{3})$

or,

$(2 - \sqrt{3} )$

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