$${ 6 }^{ 2 } \sqrt{ { 5 }^{ 2 } \sqrt{ { 9 }^{ 2 } \sqrt{ { 9 }^{ 2 } } } }$$
$540\sqrt{3}\approx 935.307436087$
$$36\sqrt{5^{2}\sqrt{9^{2}\sqrt{9^{2}}}}$$
$$36\sqrt{25\sqrt{9^{2}\sqrt{9^{2}}}}$$
$$36\sqrt{25\sqrt{81\sqrt{9^{2}}}}$$
$$36\sqrt{25\sqrt{81\sqrt{81}}}$$
$$36\sqrt{25\sqrt{81\times 9}}$$
$$36\sqrt{25\sqrt{729}}$$
$$36\sqrt{25\times 27}$$
$$36\sqrt{675}$$
$$36\times 15\sqrt{3}$$
$$540\sqrt{3}$$
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