To simplify \( 2\sqrt{8} + \sqrt{28} + 2\sqrt{8} \):
-
Combine the like terms \( 2\sqrt{8} + 2\sqrt{8} \): \[ 2\sqrt{8} + 2\sqrt{8} = 4\sqrt{8} \]
-
Next, rewrite the combined expression: \[ 4\sqrt{8} + \sqrt{28} \]
-
Now, simplify \( \sqrt{28} \): \[ \sqrt{28} = \sqrt{4 \times 7} = \sqrt{4}\sqrt{7} = 2\sqrt{7} \]
-
Substitute this back into the expression: \[ 4\sqrt{8} + 2\sqrt{7} \]
At this stage, you can leave the expression as it is or evaluate further if needed. However, if you specifically want to deduce which option it corresponds to:
From the provided options, the closest simplified form would be:
- \( 4\sqrt{8} + \sqrt{28} \)
So the answer is: \( 4\sqrt{8} + \sqrt{28} \).