Question

radicals with distribution
this is the only question in this section
question
simplify $3sqrt{7}(2sqrt{7}-8)$
answer attempt 1 out of 8
$6sqrt{49}-24sqrt{7}$ $6sqrt{7}-24$ $42 - 24sqrt{7}$ $6sqrt{7}-8sqrt{7}$

Explanation:

Step1: Apply distributive property

$3\sqrt{7}(2\sqrt{7}-8)=3\sqrt{7}\times2\sqrt{7}-3\sqrt{7}\times8$

Step2: Multiply radicals

$3\sqrt{7}\times2\sqrt{7}=(3\times2)\times(\sqrt{7}\times\sqrt{7}) = 6\times7=42$

Step3: Multiply radical and integer

$3\sqrt{7}\times8 = 24\sqrt{7}$

Step4: Combine results

$42 - 24\sqrt{7}$

Answer:

$42 - 24\sqrt{7}$