Question

perform the indicated operations. simplify the answer when possible.
$3\sqrt{5} \times 13\sqrt{5}$

Explanation:

Step1: Identify like terms

Both terms have the radical $\sqrt{3}$, so we can combine the coefficients.
The expression is $3\sqrt{3} + 13\sqrt{3}$.

Step2: Combine coefficients

Add the coefficients 3 and 13: $3 + 13 = 16$.
So, $3\sqrt{3} + 13\sqrt{3} = (3 + 13)\sqrt{3} = 16\sqrt{3}$.

Answer:

$16\sqrt{3}$