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5\sqrt{2}\sqrt{16}\sqrt{2}
Factor 32=2\times 16. Rewrite the square root of the product \sqrt{2\times 16} as the product of square roots \sqrt{2}\sqrt{16}.
5\times 2\sqrt{16}
Multiply \sqrt{2} and \sqrt{2} to get 2.
10\sqrt{16}
Multiply 5 and 2 to get 10.
10\times 4
Calculate the square root of 16 and get 4.
40
Multiply 10 and 4 to get 40.