Question

rationalise
$\frac{2 + \sqrt{3} }{2 - \sqrt{3} }$

Answer 1

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Q:-rationalise

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} }$

⟹ $\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

⟹ $\frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$

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

⟹ $\frac{( {2})^{2} + {( \sqrt{3}) }^{2} + 2(2)( \sqrt{3} ) }{4 - 3}$

⟹ $= 4 + 3 + 4 \sqrt{3} = 7 + 4 \sqrt{3} ✓$

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Answer 2

Answer is :-4+3+4√3=7+4√3.

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