Question

add as indicated.

\\\sqrt{28} + 6\sqrt{7}\\

\\\sqrt{28} + 6\sqrt{7} = \text{___} \text{ (type an exact answer, using radicals as needed.)}\\

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Simplify the first radical

To add radicals, they must have the same number under the root (like terms). We can simplify \( \sqrt{28} \) by finding its perfect square factors:

$$ \sqrt{28} = \sqrt{4 \cdot 7} = \sqrt{4} \cdot \sqrt{7} = 2\sqrt{7} $$

Step 2: Add the like radicals

Now substitute \( 2\sqrt{7} \) back into the original expression and combine the terms:

$$ 2\sqrt{7} + 6\sqrt{7} = (2 + 6)\sqrt{7} = 8\sqrt{7} $$

Answer:

\( 8\sqrt{7} \)