Simplify the radical. $$ -5 \sqrt{12} $$

Question

UpStudy AI · Accepted Answer

Given the expression $$ -5\sqrt{12} $$, we begin by simplifying the radical $$ \sqrt{12} $$.

1. Factor $$ 12 $$ as $$ 4 \times 3 $$:
   $$
   \sqrt{12} = \sqrt{4 \times 3}
   $$

2. Use the property of radicals:
   $$
   \sqrt{12} = \sqrt{4} \cdot \sqrt{3}
   $$

3. Simplify $$ \sqrt{4} $$:
   $$
   \sqrt{4} = 2
   $$
   So,
   $$
   \sqrt{12} = 2\sqrt{3}
   $$

4. Substitute back into the original expression:
   $$
   -5\sqrt{12} = -5(2\sqrt{3}) = -10\sqrt{3}
   $$

The simplified form is: $$ -10\sqrt{3} $$.
The simplified form is $$ -10\sqrt{3} $$.

Simplify the radical. \( -5 \sqrt{12} \)