Question

rationalise the denominator
$\frac{11}{2 \sqrt{3} - 1}$
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Answer 1

$\huge\underline{ \overline{ \bf{ \purple{QUESTION}}}}$

rationalise the denominator $\frac{11}{2 \sqrt{3} - 1}$

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$\huge \red { \bigstar{ \underline{\mathbb{ÀNSWER}}}}$

$=>\Large{\frac{11}{2\sqrt{3}-1}}$

$=>\large\frac{11}{2\sqrt{3}-1}×\frac{2\sqrt{3}+1}{2\sqrt{3}+1}$

$= > \frac{11×(2\sqrt{3}+1)}{(2\sqrt{3}-1)(2\sqrt{3}+1)} \\ </p><p>$

$\green{ \boxed{ \fbox{{ {a}^{2} - {b}^{2} = (a + b)(a - b) }}}}$

$= > \frac{22\sqrt{3}+11}{2^2-\sqrt{3}^2}$

$= > \frac{22\sqrt{3}+11}{1}$

$\huge\green{ \bigstar{ \boxed{\fbox{\blue{22\sqrt{3}+11}}}}}$

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$\huge{ \red{ \ddot \smile}} \\ \huge \pink{\mathrm{thanks}}$