$${ 2 }^{ 2 } \times { 5 }^{ 2 } \times { 9 }^{ 2 } \sqrt{ 6 } \times { 1 }^{ 2 } { 2 }^{ 2 } { 34 }^{ 2 } { 5 }^{ 2 } { 6 }^{ 2 } { 7 }^{ 2 } { 8 }^{ 2 } { 9 }^{ 2 }$$
$8562615183360000\sqrt{6}\approx 2.097403806 \cdot 10^{16}$
$$2^{4}\times 5^{2}\times 9^{2}\sqrt{6}\times 1^{2}\times 34^{2}\times 5^{2}\times 6^{2}\times 7^{2}\times 8^{2}\times 9^{2}$$
$$2^{4}\times 5^{4}\times 9^{2}\sqrt{6}\times 1^{2}\times 34^{2}\times 6^{2}\times 7^{2}\times 8^{2}\times 9^{2}$$
$$2^{4}\times 5^{4}\times 9^{4}\sqrt{6}\times 1^{2}\times 34^{2}\times 6^{2}\times 7^{2}\times 8^{2}$$
$$16\times 5^{4}\times 9^{4}\sqrt{6}\times 1^{2}\times 34^{2}\times 6^{2}\times 7^{2}\times 8^{2}$$
$$16\times 625\times 9^{4}\sqrt{6}\times 1^{2}\times 34^{2}\times 6^{2}\times 7^{2}\times 8^{2}$$
$$10000\times 9^{4}\sqrt{6}\times 1^{2}\times 34^{2}\times 6^{2}\times 7^{2}\times 8^{2}$$
$$10000\times 6561\sqrt{6}\times 1^{2}\times 34^{2}\times 6^{2}\times 7^{2}\times 8^{2}$$
$$65610000\sqrt{6}\times 1^{2}\times 34^{2}\times 6^{2}\times 7^{2}\times 8^{2}$$
$$65610000\sqrt{6}\times 1\times 34^{2}\times 6^{2}\times 7^{2}\times 8^{2}$$
$$65610000\sqrt{6}\times 34^{2}\times 6^{2}\times 7^{2}\times 8^{2}$$
$$65610000\sqrt{6}\times 1156\times 6^{2}\times 7^{2}\times 8^{2}$$
$$75845160000\sqrt{6}\times 6^{2}\times 7^{2}\times 8^{2}$$
$$75845160000\sqrt{6}\times 36\times 7^{2}\times 8^{2}$$
$$2730425760000\sqrt{6}\times 7^{2}\times 8^{2}$$
$$2730425760000\sqrt{6}\times 49\times 8^{2}$$
$$133790862240000\sqrt{6}\times 8^{2}$$
$$133790862240000\sqrt{6}\times 64$$
$$8562615183360000\sqrt{6}$$
Show Solution
Hide Solution