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Simplify the square root.

Simplify the square root.-example-1

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Answer:

18√3

Explanation:

In order to simplify 9√12, we'll have to factor a perfect square that evenly divides into 12 itself.

  • We know that 4 is a perfect square as 2^2 = 4 and 12/4 = 3. Thus, 4 is the highest perfect square which evenly divides into 12:


9√(12)\\ 9√(4*3)

We can leave the 9 outside and rewrite the expression as two square roots:


9(√(4)*√(3)) \\9(2√(3))

Now we can distribute to fully simplify the square root


18√(3)

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