<img src="https://tex.z-dn.net/?f=2%5Csqrt%7B3%20%28%5Csqrt%7B27-2%5Csqrt%7B12" id="TexFormula1" title="2\sqrt{3 (\sqrt{27-2\sqr

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exis [7]

2 years ago

t{12" alt="2\sqrt{3 (\sqrt{27-2\sqrt{12" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Strike441 [17]2 years ago

8 0

Answer: $=2\sqrt{3}\sqrt[4]{27-4\sqrt{3}}\quad \left(\mathrm{Decimal:\quad }\:7.33224\dots \right)$

Step-by-step explanation:

$2\sqrt{3\left(\sqrt{27-2\sqrt{12}}\right)}$

$=2\sqrt{3\sqrt{27-2\sqrt{12}}}$

$=2\sqrt{3}\sqrt[4]{27-4\sqrt{3}}$

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