Question

rationalize. 1/3+√3​
with process

Answer 1

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Q:-rationalize. 1/3+√3

with process

$\huge\tt\underline\blue{Answer </p><p> }$

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$⟹ \frac{1}{3 + \sqrt{3} } \times \frac{3 - \sqrt{3} }{3 - \sqrt{3} } </p><p>$

${a}^{2} - {b}^{2} = (a + b)(a - b)$

$⟹</p><p> \frac{3 - \sqrt{3} }{ {(3)}^{2} - ( { \sqrt{3} )}^{2} }$

$⟹</p><p> \frac{3 - \sqrt{3} }{9 - 3}$

$⟹</p><p> \frac{3 - \sqrt{3} }{6}$

$⟹</p><p> \frac{1}{2} - \frac{ \sqrt{3} }{2 \times \sqrt{3} \times \sqrt{3} }$

$⟹</p><p> \frac{1}{2} - \frac{ \sqrt{3} }{2 \sqrt{3} }$

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HOPE IT HELPS YOU..

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