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8. Given x>0, rewrite the following expression in simplest radical form.

8. Given x>0, rewrite the following expression in simplest radical form.-example-1

1 Answer

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Given:

There are given the expression:


√(16x^4)\cdot\sqrt[4]{16x^2}

Step-by-step explanation:

To find the expression, we need to simplify the radicals:

So,

From the expression:


√(16x^4)\cdot\sqrt[4]{16x^2}=4x^2\cdot\sqrt[4]{16x^2}

Now,


\begin{gathered} 4x^2\sqrt[4]{16x^2}=4x^2\cdot2\sqrt[4]{x^2} \\ =8x^2\sqrt[4]{x^2} \end{gathered}

Final answer:

Hence, the simplified radical form is shown below:


8x^2\sqrt[4]{x^2}

User Gnavi
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