Add 28–√ + 28−−√ + 28–√

Question

.(1 point)
Responses

416−−√ + 28−−√
4 Start Root 16 End Root plus Start Root 28 End Root

544−−√
5 Start Root 44 End Root

48–√ + 28−−√
4 Start Root 8 End Root plus Start Root 28 End Root

58–√

Answer 1

To simplify the expression \( \sqrt{28} + \sqrt{28} + \sqrt{28} \), you can combine the three square roots of 28.

\[ \sqrt{28} + \sqrt{28} + \sqrt{28} = 3\sqrt{28} \]

Next, we can simplify \(\sqrt{28}\): \[ \sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \cdot \sqrt{7} = 2\sqrt{7} \]

Now substituting back: \[ 3\sqrt{28} = 3 \times 2\sqrt{7} = 6\sqrt{7} \]

Thus, the simplified sum is: \[ 6\sqrt{7} \]

If we look at the options provided, it appears they were not formatted very clearly, but the answer \( 6\sqrt{7} \) is not directly noted. Given no exact match, it should be noted that this sum could potentially correspond to the simplified expression, depending on any potential formatting or typographical errors in the answer choices mentioned.

Answer 2

wrong

Answer 3

I apologize for the confusion. Let's recalculate the expression properly.

You asked to add \( \sqrt{28} + \sqrt{28} + \sqrt{28} \).

This can be combined as follows:

\[ \sqrt{28} + \sqrt{28} + \sqrt{28} = 3\sqrt{28}. \]

Next, let's simplify \(\sqrt{28}\):

\[ \sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \cdot \sqrt{7} = 2\sqrt{7}. \]

Now substituting back into the equation:

\[ 3\sqrt{28} = 3 \times 2\sqrt{7} = 6\sqrt{7}. \]

So, again, we have \( 6\sqrt{7} \).

However, if any of your options matched with the result derived, we could explore that too. But since it seems I have not provided a match to your original question, let's check if your options could lead to a confusion.

Here is a clearer look at the responses you provided:

• \( 4\sqrt{16} + \sqrt{28} \)
• \( 5\sqrt{44} \)
• \( 4\sqrt{8} + \sqrt{28} \)
• \( 5\sqrt{8} \)

None of these appear straightforward to our calculated \( 6\sqrt{7} \).

Could you please clarify how I can assist you more accurately? Would you like to recheck your original prompt or go through these options with more context? Thank you!