Question

timed problem
score: 1/10 current time: 58.0
select the most simplified equivalent of (-3sqrt{7} cdot 4sqrt{6})
answer
(-3sqrt{7} cdot 4sqrt{6})
(sqrt{42})
(sqrt{13})
(-12sqrt{42})

Explanation:

Step1: Multiply coefficients

$-3 \times 4 = -12$

Step2: Multiply radicands

$\sqrt{7} \times \sqrt{6} = \sqrt{7 \times 6} = \sqrt{42}$

Step3: Combine results

$-12 \times \sqrt{42} = -12\sqrt{42}$

Answer:

$-12\sqrt{42}$