chocklettee
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Select the correct answer:

Which expression is equivalent to [tex]13 \sqrt{22b} - 10 \sqrt{22b}[/tex], if [tex]b \ \textgreater \ 0[/tex]?

A. [tex]23 \sqrt{226}[/tex]

B. [tex]130 \sqrt{22b}[/tex]

C. [tex]3 \sqrt{b^2}[/tex]

D. [tex]3 \sqrt{22b}[/tex]

Sagot :

GinnyAnswer
To determine an expression equivalent to [tex]\(13 \sqrt{22 b} - 10 \sqrt{22 b}\)[/tex], we will combine like terms.

1. First, note that both terms [tex]\(13 \sqrt{22 b}\)[/tex] and [tex]\(10 \sqrt{22 b}\)[/tex] have the common factor [tex]\(\sqrt{22 b}\)[/tex]:
[tex]\[ 13 \sqrt{22 b} - 10 \sqrt{22 b} \][/tex]

2. Factor out the common factor of [tex]\(\sqrt{22 b}\)[/tex]:
[tex]\[ (13 - 10) \sqrt{22 b} \][/tex]

3. Simplify the expression inside the parentheses:
[tex]\[ 3 \sqrt{22 b} \][/tex]

So, the expression [tex]\(13 \sqrt{22 b} - 10 \sqrt{22 b}\)[/tex] simplifies to [tex]\(3 \sqrt{22 b}\)[/tex].

Therefore, the correct answer is:
D. [tex]\(3 \sqrt{22 b}\)[/tex]
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.