Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Which of the following is equivalent to [tex]\(18 - \sqrt{-25}\)[/tex]?

A. [tex]\(5i\)[/tex]
B. [tex]\(18 - 5i\)[/tex]
C. [tex]\(18 + 5i\)[/tex]
D. [tex]\(23\)[/tex]

Sagot :

GinnyAnswer
To solve the problem [tex]\(18 - \sqrt{-25}\)[/tex], we need to understand how to handle the square root of a negative number.

1. Identify the square root of the negative number:
[tex]\[ \sqrt{-25} \][/tex]
We know that the square root of a negative number involves imaginary numbers. Specifically,
[tex]\[ \sqrt{-25} = \sqrt{25 \cdot (-1)} = \sqrt{25} \cdot \sqrt{-1} = 5i \][/tex]
Here, [tex]\(i\)[/tex] represents the imaginary unit, where [tex]\(i = \sqrt{-1}\)[/tex].

2. Substitute this back into the original expression:
[tex]\[ 18 - \sqrt{-25} = 18 - 5i \][/tex]

Therefore, the expression [tex]\(18 - \sqrt{-25}\)[/tex] simplifies to [tex]\(18 - 5i\)[/tex].

The correct answer is:
[tex]\[ \boxed{18-5i} \][/tex]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.