Question

multiply.
\sqrt{6}(8 + \sqrt{5})
simplify your answer as much as possible.

Explanation:

Step1: Apply distributive property

$\sqrt{6} \times 8 + \sqrt{6} \times \sqrt{5}$

Step2: Simplify each term

$8\sqrt{6} + \sqrt{6 \times 5}$

Step3: Compute product inside radical

$8\sqrt{6} + \sqrt{30}$

Answer:

$8\sqrt{6} + \sqrt{30}$