Question

.. Rationalize the denominator of 25 2+3
$\frac{3}{2 + \sqrt{3} }$
​

Answer 1

Step-by-step explanation:

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

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

$\frac{3\left(2-\sqrt{3}\right)}{\left(2+\sqrt{3}\right)\left(2-\sqrt{3}\right)}\times 1$

$\frac{3\left(2-\sqrt{3}\right)}{2^{2}-\left(\sqrt{3}\right)^{2}}\times 1$

$\frac{3\left(2-\sqrt{3}\right)}{4-3}\times 1$

$3\left(2-\sqrt{3}\right)\times 1$

$6-3\sqrt{3}$

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