Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Select the correct answer.

What is [tex]\sqrt{36 x^4}[/tex] in simplest form?

A. [tex]6 x^2[/tex]
B. [tex]18 x^2[/tex]
C. [tex]2 x^2 \sqrt{9}[/tex]
D. [tex]6 \sqrt{x^4}[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\(\sqrt{36 x^4}\)[/tex], we can proceed with the following steps:

1. Break down the term inside the square root:
[tex]\[\sqrt{36 x^4}\][/tex]

2. Separate the constants and the variable terms:
[tex]\[\sqrt{36} \cdot \sqrt{x^4}\][/tex]

3. Simplify each part individually:
- The square root of [tex]\(36\)[/tex] is [tex]\(6\)[/tex], because [tex]\(6^2 = 36\)[/tex].
- The square root of [tex]\(x^4\)[/tex] is [tex]\(x^2\)[/tex], because [tex]\((x^2)^2 = x^4\)[/tex].

4. Combine the simplified parts:
[tex]\[6 \cdot x^2\][/tex]

Therefore, the expression [tex]\(\sqrt{36 x^4}\)[/tex] in its simplest form is:
[tex]\[6 x^2\][/tex]

Hence, the correct answer is:

A. [tex]\(6 x^2\)[/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.