$$\sqrt{ { 2 }^{ 2 } \times 4 \sqrt{ { 2 }^{ 2 } \times 4 \sqrt{ { 0 }^{ 2 } \times 4 } } }$$
$0$
$$\sqrt{4\times 4\sqrt{4\times 2^{2}\sqrt{0^{2}\times 4}}}$$
$$\sqrt{16\sqrt{4\times 2^{2}\sqrt{0^{2}\times 4}}}$$
$$\sqrt{16\sqrt{4\times 4\sqrt{0^{2}\times 4}}}$$
$$\sqrt{16\sqrt{16\sqrt{0^{2}\times 4}}}$$
$$\sqrt{16\sqrt{16\sqrt{0\times 4}}}$$
$$\sqrt{16\sqrt{16\sqrt{0}}}$$
$$\sqrt{16\sqrt{16\times 0}}$$
$$\sqrt{16\sqrt{0}}$$
$$\sqrt{16\times 0}$$
$$\sqrt{0}$$
$$0$$
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