martinezadam576
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Select the correct answer.

What is this expression in simplified form?
[tex]\[
(6 \sqrt{2})(-3 \sqrt{5})
\][/tex]

A. -90
B. [tex]\(-18 \sqrt{10}\)[/tex]
C. [tex]\(-18 \sqrt{7}\)[/tex]
D. [tex]\(3 \sqrt{7}\)[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\((6 \sqrt{2})(-3 \sqrt{5})\)[/tex], we can follow these steps:

1. Separate the constants and the radicals:
[tex]\[ (6 \sqrt{2})(-3 \sqrt{5}) = (6 \cdot -3) \cdot (\sqrt{2} \cdot \sqrt{5}) \][/tex]

2. Multiply the constants:
[tex]\[ 6 \cdot -3 = -18 \][/tex]

3. Multiply the radicals:
[tex]\[ \sqrt{2} \cdot \sqrt{5} = \sqrt{2 \cdot 5} = \sqrt{10} \][/tex]

4. Combine the results:
[tex]\[ -18 \cdot \sqrt{10} \][/tex]

Therefore, the expression [tex]\((6 \sqrt{2})(-3 \sqrt{5})\)[/tex] simplifies to [tex]\(-18 \sqrt{10}\)[/tex].

The correct answer is:
B. [tex]\(-18 \sqrt{10}\)[/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.