Question

Rationalize the denominator of 1 /(6−√3)

Answer 1

Answer:

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Answer 2

$\large \color{red} { \bold{ \frac{1}{6 - \sqrt{3} } }}$

$\large \color{blue} { \bold{ = \frac{6 + \sqrt{3} }{(6 - \sqrt{3})(6 + \sqrt{3} ) } }}$

$\large \color{blue} { \bold{ = \frac{6 + \sqrt{3} }{{(6})^{2} - ({ \sqrt{3}) }^{2} } }}$

$\large \color{blue} { \bold{ = \frac{6 + \sqrt{3} }{36 - 3} }}$

$\large \color{blue} { \bold{ = \boxed{\color{orange}\bold{\frac{6 + \sqrt{3} }{33} }}}}$