Question

Complete the expression subtracting the radicals.(2 points)

[BLANK]√[BLANK]-[BLANK]√[BLANK]=[BLANK]√[BLANK]

Answer 1

To complete the expression while subtracting radicals, let's consider a specific example.

Let's take:

1. \(\sqrt{18}\)
2. \(\sqrt{8}\)

Now, we can simplify both radicals:

- \(\sqrt{18} = \sqrt{9 \cdot 2} = 3\sqrt{2}\)
- \(\sqrt{8} = \sqrt{4 \cdot 2} = 2\sqrt{2}\)

Now, we can subtract the simplified radicals:

\[
3\sqrt{2} - 2\sqrt{2} = (3 - 2)\sqrt{2} = 1\sqrt{2}
\]

Now we can fill in the blanks:

\[ 3\sqrt{2} - 2\sqrt{2} = 1\sqrt{2} \]

So the completed expression is:

**3**√**2** - **2**√**2** = **1**√**2**.