Question

8.4 add, subtract, and multiply radical expressions
score: 11.8/22 answered: 12/22
question 13
simplify.
(2\sqrt{5})(-4\sqrt{12})=
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Explanation:

Step1: Multiply the coefficients

$2\times(-4)= - 8$

Step2: Multiply the radicands

$\sqrt{5}\times\sqrt{12}=\sqrt{5\times12}=\sqrt{60}$

Step3: Simplify the square - root

$\sqrt{60}=\sqrt{4\times15}=2\sqrt{15}$

Step4: Combine the results

$-8\times2\sqrt{15}=-16\sqrt{15}$

Answer:

$-16\sqrt{15}$