Question

multiply. write your answer in simplest form. \sqrt{77}(8 - \sqrt{33})

Explanation:

Step1: Apply distributive property

$\sqrt{77} \times 8 - \sqrt{77} \times \sqrt{33}$

Step2: Simplify each term

$8\sqrt{77} - \sqrt{77 \times 33}$

Step3: Factor product inside radical

$8\sqrt{77} - \sqrt{11^2 \times 21}$

Step4: Simplify the radical term

$8\sqrt{77} - 11\sqrt{21}$

Answer:

$8\sqrt{77} - 11\sqrt{21}$