Questions: √(16x^6)

Solution Steps

We start with the expression \( \sqrt{16 x^{6}} \). Using the property of square roots, we can separate the constant and variable parts:

\[ \sqrt{16 x^{6}} = \sqrt{16} \cdot \sqrt{x^{6}} \]

Next, we calculate the square roots of the individual components:

\[ \sqrt{16} = 4 \] \[ \sqrt{x^{6}} = x^{3} \]

Now, we combine the results from the previous step:

\[ \sqrt{16 x^{6}} = 4 \cdot x^{3} \]

Final Answer