Question

mula1" title=" \frac{1}{(1 - \sqrt{3) {}^{2} } } " alt=" \frac{1}{(1 - \sqrt{3) {}^{2} } } " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

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

Explanation:

so we simplify tthe denominator first

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

so the new fraction is:$\frac{1}{4-2\sqrt{3}}$

We'll ratinalize the fraction to get: $\frac{2+\sqrt{3}}{2}$