Question

timed problem
score 8/10 current time: 208.9
select the most simplified equivalent.
$4\sqrt{2} + \sqrt{2}$
answer
$4\sqrt{2} + \sqrt{2}$
$5\sqrt{2}$
$4\sqrt{8}$
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Explanation:

Step1: Identify like radicals

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

Step2: Combine like radicals

Factor out $\sqrt{2}$ and add coefficients:
$\sqrt{2}(4 + 1)$

Step3: Simplify the coefficient

Calculate $4+1=5$, so the expression becomes $5\sqrt{2}$.

Answer:

$5\sqrt{2}$