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\sqrt{16\times 1\left(16-6\right)\left(16-11\right)}
Subtract 15 from 16 to get 1.
\sqrt{16\left(16-6\right)\left(16-11\right)}
Multiply 16 and 1 to get 16.
\sqrt{16\times 10\left(16-11\right)}
Subtract 6 from 16 to get 10.
\sqrt{160\left(16-11\right)}
Multiply 16 and 10 to get 160.
\sqrt{160\times 5}
Subtract 11 from 16 to get 5.
\sqrt{800}
Multiply 160 and 5 to get 800.
20\sqrt{2}
Factor 800=20^{2}\times 2. Rewrite the square root of the product \sqrt{20^{2}\times 2} as the product of square roots \sqrt{20^{2}}\sqrt{2}. Take the square root of 20^{2}.