Question

Rationalize the denominator of
$\frac{1}{2 - \sqrt{3} }$


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Answer 1

Answer:

$\frac{1}{2 - \sqrt{3} } \\ = \frac{1}{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } \\ = \frac{2 + \sqrt{3} }{4 - 3} \\ = \frac{2 + \sqrt{3} }{1} \\ = 2 + \sqrt{3}$

hope it helps

Answer 2

Step-by-step explanation:

Given

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$\frac{1}{2 - \sqrt{3} }$

✯To Find

• Rationalize The Denominator.

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Solution

$R.F Of Denominator= \: 2 + \sqrt{3}$

$\frac{1}{2 - \sqrt{3} } = \frac{1}{2 \sqrt{3} } \: \ \frac{2 + \sqrt{3} }{2 \sqrt{3} }$

$= \frac{2 + \sqrt{3} }{(2) {}^{ {}^{2} - ( \ \sqrt{3} {}^{2} } } = \frac{2 + \sqrt{3} }{4 - 3} = \frac{2 + \sqrt{3} }{1} = 2 + \sqrt{3}$

• Hope it helps✰✯