Question

enter the correct answer in the box.

find the sum.

\\(x\sqrt{5} + 4x\sqrt{5}\\)

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Identify like terms

The given expression is:

$$ x\sqrt{5} + 4x\sqrt{5} $$

Both terms share the common variable and radical factor \( x\sqrt{5} \).

Step 2: Combine coefficients

Treat \( x\sqrt{5} \) as a single unit, similar to combining like terms in algebra (such as \( 1a + 4a \)):

$$ 1x\sqrt{5} + 4x\sqrt{5} = (1 + 4)x\sqrt{5} $$

$$ (1 + 4)x\sqrt{5} = 5x\sqrt{5} $$

Answer:

\( 5x\sqrt{5} \)