Question

simplify.
$5\sqrt{2} + 8\sqrt{2} = \square$

Explanation:

Step1: Identify like terms

Both terms have $\sqrt{2}$, so they are like terms.

Step2: Combine coefficients

Add the coefficients 5 and 8: $5 + 8 = 13$.

Step3: Write the simplified form

Multiply the sum of coefficients by $\sqrt{2}$: $13\sqrt{2}$.

Answer:

$13\sqrt{2}$