https://file.aiquickdraw.com/mathbot/file/1725916943571yzczqjo0.jpg

Let's work through the expression step by step:

The given expression is:

\[
(-5 \sqrt{18}) (-6 \sqrt{15})
\]

### Step 1: Multiply the constants outside the square roots

\[
(-5)(-6) = 30
\]

### Step 2: Multiply the terms inside the square roots

\[
\sqrt{18} \cdot \sqrt{15} = \sqrt{18 \times 15} = \sqrt{270}
\]

### Step 3: Simplify the square root of 270

\[
\sqrt{270} = \sqrt{9 \times 30} = 3\sqrt{30}
\]

### Step 4: Multiply the results

Now multiply the 30 by \(3\sqrt{30}\):

\[
30 \times 3\sqrt{30} = 90\sqrt{30}
\]

So, the simplified expression is:

\[
90\sqrt{30}
\]

Would you like further details or have any questions?

### Related questions:
1. How do you simplify square roots?
2. What are common ways to factor numbers under square roots?
3. Can negative numbers inside square roots be simplified the same way?
4. How can you multiply terms involving square roots?
5. What are some common mistakes when simplifying radicals?

### Tip:
Always look for perfect squares within a square root to simplify the expression further.

Learn how to simplify the expression (-5√18)(-6√15) by multiplying the constants and simplifying the radicals. This problem covers key algebraic concepts including multiplication and simplification of square roots. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation