To find the product of \(\sqrt{81} \times \sqrt{16}\), we can first simplify each square root.
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Calculate \(\sqrt{81}\): \[ \sqrt{81} = 9 \]
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Calculate \(\sqrt{16}\): \[ \sqrt{16} = 4 \]
Now, we multiply the results: \[ \sqrt{81} \times \sqrt{16} = 9 \times 4 = 36 \]
If we want to express this in simplest radical form, we can also use the property of square roots: \[ \sqrt{81} \times \sqrt{16} = \sqrt{81 \times 16} \]
Calculating \(81 \times 16\): \[ 81 \times 16 = 1296 \] Now taking the square root of \(1296\): \[ \sqrt{1296} = 36 \]
Thus, the product of the expression in simplest radical form is: \[ \boxed{36} \]
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