$$\sqrt{\frac{2^{2}\times3^{2}\times6^{2}}{4^{2}}}$$
$9$
$$\sqrt{\frac{4\times 3^{2}\times 6^{2}}{4^{2}}}$$
$$\sqrt{\frac{4\times 9\times 6^{2}}{4^{2}}}$$
$$\sqrt{\frac{36\times 6^{2}}{4^{2}}}$$
$$\sqrt{\frac{36\times 36}{4^{2}}}$$
$$\sqrt{\frac{1296}{4^{2}}}$$
$$\sqrt{\frac{1296}{16}}$$
$$\sqrt{81}$$
$$9$$
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$3^{2}$