Use the distributive property to help simplify the expression. $$10 \sqrt { 27 } - 2 \sqrt { 3 } - 4 \sqrt { 48 }$$

Question

Quizplus · Accepted Answer

Using the distributive property, we can write:
$$10\sqrt{27}-2\sqrt{3}-4\sqrt{48} = 10\sqrt{3^3}-2\sqrt{3}-4\sqrt{16\cdot3}$$
Further simplifying, we get:
$$= 10\cdot3\sqrt{3}-2\sqrt{3}-4\cdot4\sqrt{3} = 30\sqrt{3}-2\sqrt{3}-16\sqrt{3}$$
$$= 12\sqrt{3}$$
Therefore, the answer is choice C.

Use the Distributive Property to Help Simplify the Expression 1027−23−44810 \sqrt { 27 } - 2 \sqrt { 3 } - 4 \sqrt { 48 }1027​−23​−448​

Use the Distributive Property to Help Simplify the Expression $10 \sqrt { 27 } - 2 \sqrt { 3 } - 4 \sqrt { 48 }$