Question

what will be the answer ​

Answer 1

Answer:

-9.1940

Step-by-step explanation:

$\: \: \frac{1 - 2 \sqrt{3}} {2 - \sqrt{3} } \\ = \frac{1 - (2 \times 1.732)}{2 - 1.732} \\ = \frac{1 - 3.464}{0.268} \: \: \: \: \: \: \: \: \: \: \: \\ = \frac{ - 2.464}{0.268} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = - 9.1940 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = - 9.194 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Answer 2

Answer:

$\textbf{Rationalising Denominator:}$

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

$⇒ \left(∴(a - b)(a + b) = {a}^{2} - {b}^{2} \right) \]$

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

$⇒ \frac{2 + 4 \sqrt{3} + \sqrt{3} + 6 }{1}$

$⇒8 + 5 \sqrt{3}$

$⇒8 + 5 \times 1.732$

$⇒16.660$

Hence,

$\textbf{The required value is \: 16.660 }$

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