Question

4. Simplify: 3÷ 5- √3

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Answer 1

Answer:

$3 - 5 \sqrt{3} \div 5$

Answer 2

ANSWER:

$\frac{3}{5 - \sqrt{3} }$

$= \frac{3}{5 - \sqrt{3} } \times \frac{5 + \sqrt{3} }{5 + \sqrt{3} }$

$= \frac{3(5 + \sqrt{3}) }{(5 - \sqrt{3})(5 + \sqrt{3}) }$

$= \frac{15 + 3 \sqrt{3} }{ {(5)}^{2} - {( \sqrt{3} )}^{2} }$

$= \frac{15 + 3 \sqrt{3} }{25 - 3}$

$= \frac{15 + 3 \sqrt{3} }{22}$

$= \frac{15}{22} + \frac{3 \sqrt{3} }{22}$

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