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\( 6w^6 \)
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The expression simplifies to \( 6w^6 \). This is because the square root of 36 is 6, and when you take the square root of \( w^{12} \), you divide the exponent by 2, resulting in \( w^6 \). Just remember, whenever you're tackling square roots of numbers and variables, breaking them down into their components can make life a lot easier! So, consider this a handy little math magic trick!