Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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

8 Given Xgt0 Rewrite The Following Expression In Simplest Radical Form class=

Sagot :

Given:

There are given the expression:

[tex]\sqrt{16x^4}\cdot\sqrt[4]{16x^2}[/tex]

Explanation:

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

So,

From the expression:

[tex]\sqrt{16x^4}\cdot\sqrt[4]{16x^2}=4x^2\cdot\sqrt[4]{16x^2}[/tex]

Now,

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

Final answer:

Hence, the simplified radical form is shown below:

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

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.