Question

multiply. write your answer in simplest form.
$-sqrt{10}\left(10 + 7sqrt{6}\
ight)$

Explanation:

Step1: Distribute $-\sqrt{10}$ to terms

$-\sqrt{10} \times 10 + (-\sqrt{10}) \times 7\sqrt{6}$

Step2: Simplify each product

$-10\sqrt{10} - 7\sqrt{10 \times 6}$

Step3: Simplify the radical

$-10\sqrt{10} - 7\sqrt{60} = -10\sqrt{10} - 7\times2\sqrt{15}$

Step4: Final simplification

$-10\sqrt{10} - 14\sqrt{15}$

Answer:

$-10\sqrt{10} - 14\sqrt{15}$