QuestionFebruary 2, 2026

(12sqrt (6))/(sqrt (2))

(12sqrt (6))/(sqrt (2))
(12sqrt (6))/(sqrt (2))

Solution
3.8(205 votes)

Answer

12\sqrt{3} Explanation 1. Simplify the Expression To simplify \frac {12\sqrt {6}}{\sqrt {2}}, we first apply the property of radicals that allows us to divide the radicands: \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}. Therefore, \frac{\sqrt{6}}{\sqrt{2}} = \sqrt{\frac{6}{2}} = \sqrt{3}. 2. Multiply the Coefficient Now, multiply the simplified radical by the coefficient outside the radical: 12 \cdot \sqrt{3} = 12\sqrt{3}.

Explanation

1. Simplify the Expression<br /> To simplify $\frac {12\sqrt {6}}{\sqrt {2}}$, we first apply the property of radicals that allows us to divide the radicands: $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$. Therefore, $\frac{\sqrt{6}}{\sqrt{2}} = \sqrt{\frac{6}{2}} = \sqrt{3}$.<br />2. Multiply the Coefficient<br /> Now, multiply the simplified radical by the coefficient outside the radical: $12 \cdot \sqrt{3} = 12\sqrt{3}$.
Click to rate:

Similar Questions