Complete the expression subtracting the radicals.(2 points)

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

1 answer

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:

32 - 22 = 12.