Which of the following is equivalent to 18 minus StartRoot negative 25 EndRoot?
5i
18 – 5i
18 + 5i
23 

The expression \(18 - \sqrt{-25}\) involves simplifying the square root of a negative number. 

First, we rewrite \(\sqrt{-25}\) using the imaginary unit \(i\), where \(i = \sqrt{-1}\):
\[
\sqrt{-25} = \sqrt{25} \cdot i = 5i
\]

Now, substitute this back into the original expression:
\[
18 - \sqrt{-25} = 18 - 5i
\]

Thus, the correct answer is:
\[
\boxed{18 - 5i}
\]

Would you like more details on this?

Here are 5 related questions:
1. What is the square root of a negative number?
2. How do you simplify expressions with imaginary numbers?
3. What is the value of \(i^2\)?
4. Can you solve \( \sqrt{-49} \)?
5. How do imaginary numbers relate to complex numbers?

**Tip**: Remember, the square root of any negative number introduces the imaginary unit \(i\).

Which of the following is equivalent to 18 minus StartRoot negative 25 EndRoot?

Learn how to simplify the expression 18 minus the square root of negative 25 by using imaginary numbers. This step-by-step solution explains key concepts, such as square roots of negative numbers and how to rewrite expressions with imaginary units, making it suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation