Question

select the most simplified equivalent. \\(-7\sqrt{3} \cdot 6\sqrt{3}\\) answer \\(-7\sqrt{3} \cdot 6\sqrt{3}\\) \\(-42\sqrt{3}\\) \\(-42 \cdot 3\\)

Explanation:

Step1: Separate coefficients and radicals

$(-7 \times 6) \times (\sqrt{3} \times \sqrt{3})$

Step2: Multiply the coefficients

$-7 \times 6 = -42$

Step3: Multiply the radicals

$\sqrt{3} \times \sqrt{3} = \sqrt{3^2} = 3$

Step4: Multiply the two results

$-42 \times 3 = -126$
(Note: Alternatively, recognize $\sqrt{a} \times \sqrt{a}=a$, so $\sqrt{3} \times \sqrt{3}=3$, then compute $-7 \times 6 \times 3$ directly)

Answer:

-42·3 (which simplifies to -126)