Question

Simplify the radical expression. −2–√+8–√−320− (1 point) Responses 2–√−65–√2−6 5square root of 2 minus 6 square root of 5 −5 3–√−5 3negative 5 square root of 3 32–√−65–√32−65 3 square root of 2 minus 6 square root of 5 4–√−65–√

Answer 1

Let's simplify the given expression:

\[
-2\sqrt{8} - 320
\]

First, simplify \(\sqrt{8}\):

\[
\sqrt{8} = \sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}
\]

So, \( -2\sqrt{8} \) can be simplified by substituting \(2\sqrt{2}\) for \(\sqrt{8}\):

\[
-2\sqrt{8} = -2(2\sqrt{2}) = -4\sqrt{2}
\]

Now the expression looks like this:

\[
-4\sqrt{2} - 320
\]

Since \( -320 \) is just a constant, we cannot combine it with \(-4\sqrt{2}\), but we can write our final answer as:

\[
-4\sqrt{2} - 320
\]

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