Add 28–√ + 28−−√ + 28–√

1 answer

To simplify the expression \( \sqrt{28} + \sqrt{28} + \sqrt{28} \), we can start by rewriting it:

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

Next, we can simplify \( \sqrt{28} \):

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

Now we can substitute \( \sqrt{28} \) back into the expression:

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

Thus, the simplified expression \( \sqrt{28} + \sqrt{28} + \sqrt{28} \) is:

\[ \boxed{6\sqrt{7}} \]