Question

combine the radicals.
$-4\sqrt{13} - 6\sqrt{7} - 2\sqrt{7} - 5\sqrt{13}$
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question 11

Explanation:

Step1: Group like radicals

Group terms with $\sqrt{13}$ and $\sqrt{7}$:
$(-4\sqrt{13} - 5\sqrt{13}) + (-6\sqrt{7} - 2\sqrt{7})$

Step2: Combine $\sqrt{13}$ terms

Add coefficients of $\sqrt{13}$:
$-4 - 5 = -9$, so $-9\sqrt{13}$

Step3: Combine $\sqrt{7}$ terms

Add coefficients of $\sqrt{7}$:
$-6 - 2 = -8$, so $-8\sqrt{7}$

Step4: Combine results

Put the simplified terms together:
$-9\sqrt{13} - 8\sqrt{7}$

Answer:

$-9\sqrt{13} - 8\sqrt{7}$