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288 can be written as (16 x 9 x 2). Two of these factors are perfect squares,

which is exactly what we like to see if we want to simplify its square root.

sqrt(288) = sqrt(16 x 9 x 2) = sqrt(16) x sqrt(9) x sqrt(2) = 4 x 3 x sqrt(2) = 12 sqrt(2)

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Q: What is the square root of 288 in radical form?
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