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4√6 •√3 how do I show work for this because the answer is 2√12​

1 Answer

4 votes

Answer:


4 √(6) * √(3) = 12 √(2)

Explanation:

We want to simplify the radical expression:


4 √(6) * √(3)

We write √6 as √(2*3).

This implies that:


4 √(6) * √(3) = 4 √(2 * 3) * √(3)

We now split the radical for √(2*3) to get:


4 √(6) * √(3) = 4 √(2) * √(3) * √(3)

We obtain a perfect square at the far right.


4 √(6) * √(3) = 4 √(2) * (√(3) )^(2)

This simplifies to


4 √(6) * √(3) = 4 √(2) * 3

This gives us:


4 √(6) * √(3) = 4 * 3 √(2)

and finally, we have:


4 √(6) * √(3) = 12 √(2)

User Shereese
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