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The easiest way before learning to be more efficient is to break it down into it's multiplicative tree. So 156 becomes 78 x 2: 78 = 39 x 2. What is left now is 2 x 2 x 39 (39 is 13 x 3 and does not simply further) and 4 x 39 can be simplified. Pulling out the 4 from the radical becomes 2 * sqrt(39) where sqrt means "Take the square root of" what's in parentheses.

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Q: How do you simplify the square root of 156?
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