Question

do not use a calculator for this item.

simplify the expression:

\\(\sqrt{8} + \sqrt{\frac{18}{25}}\\)

a. \\(4 + \frac{3\sqrt{2}}{5}\\)

b. \frac{13\sqrt{2}}{5}

c. \\(2\sqrt{2} + \frac{3}{5}\\)

d. \\(\sqrt{8} + \frac{3\sqrt{2}}{5}\\)

Explanation:

⚡ Using what you learned: simplifying radical expressions

Step 1: Simplify the first term

$$ \sqrt{8} = \sqrt{4 \cdot 2} = 2\sqrt{2} $$

Step 2: Simplify the second term

$$ \sqrt{\frac{16}{25}} = \frac{\sqrt{16}}{\sqrt{25}} = \frac{4}{5} $$

Step 3: Combine the terms

$$ 2\sqrt{2} + \frac{4}{5} $$

Answer:

C (which corresponds to \( 2\sqrt{2} + \frac{4}{5} \))