Question

simplify the following radical expression.

\\2\sqrt{14} \cdot 8\sqrt{21}\\

\\?\sqrt{\quad}\\

Explanation:

Multiply the coefficients and the radicands

$$ 2\sqrt{14} \cdot 8\sqrt{21} = (2 \cdot 8)\sqrt{14 \cdot 21} = 16\sqrt{294} $$

Simplify the radical expression

$$ 16\sqrt{294} = 16\sqrt{49 \cdot 6} = 16 \cdot 7\sqrt{6} = 112\sqrt{6} $$

Answer:

Simplify the following radical expression.

$$2\sqrt{14} \cdot 8\sqrt{21}$$

<blank>\(112\)</blank>\(\sqrt{\text{\Large 6}}\)