Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What is the simplified form of [tex][tex]$\sqrt{400 x^{100}}$[/tex][/tex]?

A. [tex][tex]$200 x^{10}$[/tex][/tex]
B. [tex][tex]$200 x^{50}$[/tex][/tex]
C. [tex][tex]$20 x^{10}$[/tex][/tex]
D. [tex][tex]$20 x^{50}$[/tex][/tex]

Sagot :

GinnyAnswer
To find the simplified form of [tex]\(\sqrt{400 x^{100}}\)[/tex], let's break down the expression step by step.

1. Square Root of the Constant:
[tex]\[ \sqrt{400} = 20 \][/tex]

2. Simplify the Exponent within the Radical:
[tex]\[ \sqrt{x^{100}} = x^{\frac{100}{2}} = x^{50} \][/tex]

3. Combine the Results:
[tex]\[ \sqrt{400 x^{100}} = 20 \cdot x^{50} \][/tex]

So, the simplified form of [tex]\(\sqrt{400 x^{100}}\)[/tex] is [tex]\(20 x^{50}\)[/tex].

Therefore, the correct option is:
[tex]\[ \boxed{20 x^{50}} \][/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.